Um, in 2009, it did have tilting solar array ability. But not for dust removal.
OP's question: Will the Rosalind Franklin (ExoMars) rover solar panels be able to clear themselves of dust by tilting?
Short answer is threefold:
Currently: no
In the past, tilt was planned. See below.
In the future, they are looking at various options. See below.
Back in 2009, maybe, as tilting was mentioned, but dust removal was not the original reason for them tilting.
The tilting was meant for dusk/dawn solar optimization.
With the 2022 rethink with ExoMars not going before 2028, they could go back to looking at adding in tilting for dust removal.

https://www.lpi.usra.edu/mepag/meetings/archive/meeting/2009-07/04-Mepag_Coradini.pdf
Mike Williams, Chief Engineer at Airbus Defence and Space, said that when the ExoMars mission was first conceived, engineers considered a plethora of dust cleaning technologies, including brushes, wipers, gas blowers and electrostatic wipers to get rid of the dust. At that time, they decided the rover, whose nominal mission in Oxia Planum was designed to last only 180 Martian days, or sols, did not need to self-clean. With the new launch date now expected no earlier than 2028, they are rethinking their approach again.
"With ExoMars now being reborn, we are looking at possibly reinstating some of that capability," Williams said. "We could use something like solar panel tilting to possibly dislodge some of that dust. It would also help point the panels more efficiently at the sun, which may also have some benefits."
Shake mode
in addition, engineers are thinking of making some upgrades. One of these could be a shake mode that would enable Rosalind Franklin to periodically rid itself of the Martian dust that over time would gather on its solar panels and reduce their efficiency.
https://www.bbc.co.uk/news/science-environment-63336201
https://www.space.com/saving-mars-robots-from-death-by-dust

As it stands, the current version of the rover has no ability to tilt its arrays.
The Rover vehicle solar array assembly (SAA) is made of a fixed panel and four deployable (primary and secondary) panels. This SAA is unique with respect to standard deployable systems because of the motor deployment control and trimming possibilities during Martian soil exploration.
For the rover SAA the biggest challenge is related to surviving Mars planet environment (i.e. dust, wind and charge accumulation) and the associated mechanical and electrical constraints.
For ..the arrays European PVA technology was exclusively used: more specifically high efficiency III-V compounds solar cells and a new glass grounding network.
SAA characteristics:
- The six hold downs (three on each SAA side) hold the two panel stacks in position during the travel to Mars, and after landing they release the panels by non-explosive actuation.
- After hold down release, the active hinges deploy sequentially the panels till latching in the deployed position. Once in the deployed position, the deployment mechanisms withstand passively the panel loads.
- The equipment is designed to withstand the specific environmental conditions of the Mars mission, including, among others: minimum temperature of -130 ºC (during nights on the Mars surface), maximum temperature of +125 ºC (for sterilization before the mission), dust environment (due to storms in the Mars atmosphere), panel deployment against Mars gravity and wind pressure, and fatigue in deployed configuration (due to Rover mobility loads on the Mars surface).
- The tests performed at mechanism level include sterilization, functional, vibration, shock, dust, thermal and life.
- The tests performed at SAA level include functional, deployed static load, vibration, acoustic, thermal vacuum, sterilization and deployed configuration fatigue.
So current SAA characteristics no longer include tilt capability as listed back in 2009.




EXPLORING MARS WITH SOLAR-POWERED ROVERS
.., there has been some
interest in developing means to mitigate the effect of dust
on the solar arrays for long-duration operation on Mars.. however, the engineering decision was that it would be more cost effective to oversize the arrays to account for the predicted degradation than it would be to fly a system to remove dust from the panels.
Since the operating temperature
varies significantly during the day, and the spectrum of the
incident sunlight varies both with time of day and with the
amount of dust in the atmosphere, the performance of the
solar arrays on Mars is complicated.
https://www.e3s-conferences.org/articles/e3sconf/abs/2017/04/e3sconf_espc2017_04002/e3sconf_espc2017_04002.html
https://prod-sener-aeroespacial.geanetondemand.com/en/products/solar-array-assembly-mechanisms-for--exomars-2022-rover
https://ieeexplore.ieee.org/document/8932077/metrics#metrics
https://ntrs.nasa.gov/api/citations/20060013412/downloads/20060013412.pdf