Nope, the 250F is a four stroke. You can certainly convert a 2-stroke into a supermoto and run it on the track, although a four stroke is much more desirable.
The Huskys are probably more common than you'd think, there is a dealer not far from me, and you can also get parts online.
This is an old photo of my 250F, taken after I mounted up the wheels. It has changed a lot in the past year.