Is it possible to have the full load terminal voltage greater than the no load terminal voltage?

Not normally because the supply has a small resistance and very little reactance. Therefore the application of a load causes a voltage drop in the equivalent series resistance of the supply, so its voltage becomes slightly less.

A typical supply resistance can be taken from my home, which has a 240 v 60 amp supply, and the resistance is 0.1 ohms, so that a 10 amp load gives a drop of 1 volt.