I have a 1995 cutlass supreme convertible.

Yes. Moving it manually is no problem other than the fact that its quite heavy and may require a second person to help you. I have done it many times with a car exactly like yours that I bought for parts. Before trying to run it you might want to check the fluid level. The pump is behind the rear passenger seat. It's actually a pretty simple system so unless something has happened to the car, like a flood, there's really no reason why it shouldn't work. If its been parked a long time you might do it gradually... open it part way then close again then open it a bit further and close again. If all is well then go for it and open it all the way. Looks like a very nice car by the way. I hope you're enjoying it. I love mine.

I just bought one the other day and my top doesn't work I will try what you said. Thanks

Nice. They’re wonderful cars. Hope you can get that top working. Is the car in good shape?