I know it sounds more natural to say "have we got any paper for the printer?", but is it incorrect to use "some" here?
Have we got any or some** paper for the printer? [After a prior discussion]
They are basically the same in this case. Though one can be picky about it.
- Have you got any friends? [the person thinks you might not have any friends]
- Have you got some friends? [the person does not think you don't]
However, you can also ask and people often do say:
Have we got printer paper?
There is no intrinsic need for any or some.