erm, no it won't - think about the chemistry first.

Ice is a lattice structure (like a diamond), and it takes energy for
the molecules to move into the lattice. In hot water, the molecules
are moving rapidly, and can therefore form the lattice quicker than
cold molecules which have very little energy.

That's why I said go and try it if you don't believe me - 2 containers
of water in a freezer (one hot, one cold), the hot one will freeze
faster than the cold one.

I've done it many times.