Yes, if you find a suitable asteroid in a suitable orbit, it can be done. The asteroid would be meters in size, requiring a few hundred m/s $\Delta V$. Calculations on asteroid populations indicate that we can find such an asteroid.
From the paper referenced in the comment below (ERO = "easily retrievable object", where "easily" must be meant in relative terms):
Indeed, the paper presents a list of 12 EROs, with a total of 25
trajectories to periodic orbits near L2 and 6 near L1 below a cost of
500 m/s, and the number of these objects is expected to grow
considerably in the coming years. The lowest cost is of 58 m/s to
transfer asteroid 2006 RH120 to a halo southern family with a single
burn on 1st February 2021. All the capture transfer opportunities to
Earth’s vicinity have been identified for the currently catalogued
NEOs during the next 30 years, and enable capture of bodies within 2-5
meters diameter with low propellant costs.
As for your question on schedule, 2017 is extremely aggressive even just for the launch of the capture mission, so probably not. I did not see that date in your link, so I don't know what it is referring to.