Answer:
No
Explanation:
A periodic function has a period T such that, for every x, we have

In this case, it would mean that there exists a number T such that, for every x,

but we can always choose a value for x that is near enough (i.e. less than T) an integer. For example, if T=0.2, we can choose x=0.9 (which is 0.1 away from the next integer, which is less than 0.2).
This choice implies that
and
don't share the same integer part, and thus their floor is different:

whereas
