Yes, Minifob's multi-enzyme contains papain, and the
same company makes formulations without it as well for those with specific allergies. Standard Process is a quality company in general, but a lot of their products actually contain gluten, and they won't certify any of them as completely gluten-free because of cross-contamination problems. Houston Enzymes not only certifies GFCF (as well as soy, starch, artificial anything, etc.) but they make them in chewable form for kids, which is a big help for us.
Many foods have some level of naturally-occuring enzymes, but it's a crazy web to figure out which foods help digest which other foods, and certain cooking processes destroy the enzymes altogether. Plus, eating papaya at every meal is less than ideal.
Ideally, your body ought to be generating sufficient levels of enzymes by itself, but of course that's not always the case.