Fit - as in can it be mounted to the bike - yes.

Fit - as will it be a good choice - no. Even a CX(cyclocross) fork would be a better option than that.
But still not good, unless you want to change the handling of the bike.

Measure the axle-to-crown of your current bike, with you in the saddle. Then go shopping for a rigid fork as close to that as you can find. This'll minimize the amount of impact the fork swap will have on the bike's handling.