Not all pets. Off the top of my head, automaton, insect, and spooky are not able to get heal/mp as 1/2.
Use sort by ability:
http://pfiffel.com/pets/#Dino/e: I guess theoretically you can, if you get a rare of those eggs and hatched them and got SUPER lucky with the roll, since with rares all the abilities are random.
This post was edited by tealeaves on Mar 17 2014 07:25pm