Most probable, no. One of several, yes.
Again, you are looking at an item that could be the cause, but you don't really know. The FPR is another part that should not last the life of the car, and at some point it will have to be replaced. Might as well be now, and you will eliminate another possible cause of your problem.
It gets costly to troubleshoot problems like this, and frustrating when there are many possible causes. That's why I replace all of these items when I first get an older car like this. I do ALL fluids, hoses, belts, plugs, brakes, O2, FPR, check the wires, coils, valve timing, check all pan and cover bolts, etc. I must be crazy, as it is expensive to throw money at a used car like this. But I call it establishing a new baseline. You end up knowing exactly what you have and what it needs. It also hopefully eliminates the frustration of trying to figure out what is causing a particular problem down the road. Because you will know what is NOT causing these problems.
Anyway, I have a couple of used FPR's that you're welcome to try if you want to go that way, or a new one is about $60 IIRC.