I believe you probably could by changing out the rear sprocket and remapping the ECU. BRP had a picture of the differences between the 21 and under base F3's and the 22 base F3. I don't think the 10hp would make a drastic change but more of a subtle one. If you can afford the F3s and are a "HP junkie" then that's what I would gravitate towards. Myself, I am more of a cruiser not a racer so the base F3 is fine with me. I don't need the remapping, Pedal Commander, etc.
While
that might be theoretically possible, AFAIK no one has managed to successfully change the rear sprocket & re-map to avoid the errors & Limp Home conditions that result! :banghead: BRP have been very successful in their efforts to ensure that changing the sprocket from one size to another is not a viable option! :gaah:
Basically, it seems that if you've got a given sprocket, then you've gotta keep that given sprocket size! :lecturef_smilie: That said sarecco, re-mapping the ECU to gain/re-gain that extra engine power
and then some should be quite feasible; but you'd still hafta work with the same sprocket to get it to the ground.... There are tuners in North America (& here in Oz too, where we've got one of the best in
ECU Xtreme/RotaxRacing 
hyea: ) who do this for the higher powered Spyders & Rykers already (think
Monster Performance & Wick-It 
) so accessing all that untapped power without changing the rear sprocket shouldn't be too hard, just a bit of a cost! :thumbup:
Besides, changing your rear sprocket for a larger one won't increase the
engine torque; give you more mid range; or change the
engine power curve in any way. It will only alter the torque
delivered to the ground/at the rear wheel across the entire rev range. So if you could change the rear sprocket for a larger one, without changing the rev limit (which is also safely do-able via a re-map!

) the bike should accelerate faster through the gears but you would loose out on top speed....
IF you could successfully change the rear sprocket - but that's proving to be more than a little difficult! :bdh: