Disable pull request merge unless job passes

Question

I want to allow all three merge operations:

1. Create a merge commit
2. Squash and merge
3. Rebase and merge

But for the non-squash operations (1 and 3 above) I only want to enable them if a certain job/check passes.

That job/check would go through all commits and verify them (build, lint etc).

Is it possible to enable the merge methods like that? How?