Does this wall tile's mortar contain asbestos?
There's really only one way to tell with a building that is old enough that it might be there (and it "might" be in many things, whether or not it was common in those things.)

That way is to take a sample and send it to a laboratory for analysis.

I once got curious and looked into what that involves, and it's essentially some fancy microscope work that does not look particularly likely to be easily replicated by the home scientist.