Can any of these ingredients cause hair growth?

Carnuba wax, bees wax, Sun screen agents, Emulsifier preservatives, and FD&C colors, [hydroquinone]. The cream doesn’t state that it contains hydroquinone, but I’m still assuming that it does since it is a skin lightening cream.

-Does a facial product need to be FDA regulated or approved, to be safe to use?
-Also, Can synthetic ingredients cause hair growth?