By the 80's Peugeots were using pretty standard parts. He should be fine.

The only problem might be if it has a Heliocomatic rear hub. Those aren't unique to Peugeots and they've got some issues though a few people really liked them. It was a nice idea badly implemented. Freewheels that fit those would be hard to find.

I don't know if they were still around in 88 or not. Hopefully not. Anyway, getting a new rear wheel would be cheaper and easier than getting Heliocomatic parts.