Short answer, no.
Long answer, we don't know.
We know all mass will eventually decay into a form, where it stops releasing parts of it mass, and when all mass in the universe stops producing heat, along with all energy in the universe being spent, you got the third form of heat which is the expansion of space itself, so eventually when this all stops, and all mass and energy would eventually spend all its energy and reach zero, roughly 1.7×10^106 years, in comparison, the age of the universe is 1.3787*10^10 years, however this is only true if the end of the universe is in the form of heat death, and that is also assuming that protons decay into a state of non-energy.
The other models of the end of the universe assumes that the universe will probably end in another way, earlier then the heatdeath, which basically means no.