Can I take papaya enzyme tablets to ease digestion while pregnant?

Most Definitely. In fact, before we could synthetically produce such enzymes, papaya was a source of digestive enzymes. You may have noticed that when consumed after a heavy meal it seems to facilitate digestion.
Yes. If you feel that taking papaya enzymes aids in digestion they are totally safe in pregnancy as they work locally in the intestinal track and ended not enter the bloodstream, hence do not reach your baby.