Edge considerations on mosaic staircase
Absolutely.  Those tiny tiles will chip or pop off as soon as somebody smacks it with something.  I assume you are thinking of some nosing like this and where I live, I would certainly go with something with some grip.

Not knowing what kind of traffic the stairs get and what your climate is like (how often it freezes - how often they are wet), it's hard to make a more informed recommendation, but those thin small tiles will not take much abuse.