Unfortunately no. Literally impossible for the PS1 to run this in the game's current state.
Firstly, it's a Unity game, which is written in C#, a language the PS1 cannot interpret because it didn't exist when that console was released.
Secondly, even if that weren't a problem, the lack of occlusion culling in the level design means that it would run at like 3 fps.
If you don't know what I mean by occlusion culling, look at levels in the original trilogy and how the design, whether that be scenery or the path itself, prevents you from seeing later parts of the level so that the console doesn't have to render them.