So you're talking something like this, where the L293D is used to drive the Gates of standard MOSFETs from 0 to +12V say (need more than 10V for full on).
I don't see why it couldn't be used as a MOSFET driver.
L239D has diodes built in, you'd want to add those here with the external MOSFETs if controlling a motor.
You would get better performance from a purpose-designed MOSFET driver of course (much faster switching speed
for instance), and the L293D probably won't fully turn-off most MOSFETs due to the 1V or so drop across the darlington
output stage (but it'll probably turn off enough to be workable). A H-bridge made from MOSFETs doesn't need diodes
BTW, power MOSFETs have built-in body diodes.