Can I prime/paint these walls?
Can I prime/paint these walls?


YES, if you do not care very much about how flat and smooth the wall looks when you are done.

The primer will help knock down those rough paper spots a little, and using a thick nap roller to apply your finish coat will hide a bit of the rough areas. But your picture shows some unsanded (or poorly sanded) patches of mud, and nothing will make that look better except for more sanding and more mud and more sanding... ad nauseum.