PE and PP have only slightly higher surface energy than Teflon and are also only slightly easier to glue...
It all depends on doing the proper surface prep. I have very little experience with PE and PP but have read that plasma etching with a soft flame will work for bonding with epoxy. There are also epoxies designed for those plastics. Some are listed by McMaster-Carr.
I have much more experience with Teflon and used it frequently as a guide guide tube for push rods in models. Special preps are available which basically are a solution of sodium in an appropriate solvent (e.g., naphthalene in a non-protic diluent).* When applied to Teflon, the surface is lightly etched and usually turns a very light tan. Obviously, they are sensitive to moisture. Once treated in that manner, epoxy binds fine. I have never had a failure, and it is quite difficult to pull the Teflon out.
Except for plasma etching, those methods are not very practical for one-offs or most homes, but they do exist.
*Years ago, I got that brew from McMaster-Carr, but can't find it there now. In the lab, we just used liquid ammonia and dissolved either potassium, sodium, or their amalgam in it. It glows dimly in a dark room. The naphthalene-based material is more stable.