Theoretically, yes the Rosalind Franklin rover can tilt its solar panels to get martian dust off of it. But I think that once the solar panels are deployed, it's not able to tilt it individually, instead it has to tilt the whole rover, similar to the Mars Exploration Rover Spirit. How Spirit came to not operational is related to the OP's dust question so I figured that it's worth mentioning.
In 2010, Spirit's solar panels were getting covered with dust, and unlike Opportunity, it didn't have the same amount of luck with dust devils that periodically cleaned Opportunity's solar panels. Spirit is located in the southern hemisphere and winter was approaching and NASA wanted to tilt the rover for maximum sunlight exposure, however they couldn't as the wheels were stuck. Spirit had a tilt of 5° toward the south, however the Sun crossed low in the northern sky; so Spirit lost power (source). Basically, this means that the Rosalind Franklin rover will most likely not be able to control its solar panels individually as many other rovers can't, and moving parts are prone to failure thus the solar panels can be stuck tilted the wrong way which can jeopardize the mission. Also if you look at how the solar panels deploy, any dust that slides off can land on other solar panels, so the most favourable option would be to tilt the entire rover which I will explain.
The Rosalind Franklin rover can handle maximum slopes up to 35° based on recent testing (source). According to this summary report of Spirit, Spirt almost reached the angle of repose during its mission.
Spirit [was] also at some of the highest tilts of the mission and very nearly at the angle of repose. When the slope exceeds the angle of repose, dust, sand and other granular material slide downward. Spirit has been trying to take advantage of the steep tilt by spinning the middle wheels before driving to shake dust off the arrays.
The highest tilt in the mission which was 29.9°, meaning the angle of repose of martian dust is around 30-31°, within the range of the Rosalind Franklin rover.
Summary: Its unlikely that the Rosalind Franklin rover will be able to control its solar panels individually after they are deployed for multiple reasons. Moving parts are more likely to fail. If a motor fails during the process of cleaning, the panels will be stuck at an angle meaning sun light won't reach it, providing even less power. The ways the rovers solar panels deploy means that any dust they does slide off will slide onto other solar panels, which is not good. Furthermore, deploying solar panels take a long time. This is true for all landers and rovers. To give you a sense, here's InSight deploying its solar panels (there's no video of ExoMars deploying its solar panels).
The best option would be to tilt the whole rover to the angle of repose of martian dust, or just be lucky and hope dust devils cleans its solar panels.
Sources:
