Is it possible to convert an open FWD differential to LSD?

You will never find a locking differential on the front of any vehicle because of the horrendous handling that would result when turning corners. There was a 4wd truck in the '60s that offered that, (I think it might have been a Jeep Wagoneer, or something like that), but it was understood you didn't drive that very fast on the highway.

I welded up the differential on the rear of a '72 Dodge Challenger used for racing, but it had to be street legal. It launched great but I could never get it to turn without sliding the back end. That wasn't something desirable on an asphalt race track.

Is your engine so powerful that the tires are skidding?
DO you understand the principles and purpose of differentials and the physics of turning radius? If not you should not even be thinking of such stupid ideas.