Very possible, before he dropped out of the race he was leading in the polls. Of course his paranoia was legendary given his claims about the CIA trying to sabotage his daughter's wedding and he was known for being sort of erratic. His business also had sort of a sleazy reputation given his dealings with the Reagan administration and the low quality of the software IIRC. Those are pretty substantial negatives and the press hammered him on them. I think if he stayed in the race, picked a better running mate and/or various events turned out worse than OTL (i.e. economy, race riots, etc.) he could pull off a win.
But even if he did he'd be dealing with a hostile congress and two-party system, assuming he did attempt to pursue his agenda. But I'm somewhat skeptical he would especially given how much business he did with the Chinese in later years and the sort of pressure he'd be getting from the WTO, IMF, etc. not to pursue the sort of trade and monetary policies he wanted. Foreign policy would still be different given his focus on not antagonizing Russia though, I suspect the US would be less involved in the Balkans and more divided and paranoid than OTL's '90s overall.