Can a boil slowly go away on its own without coming to a head and burst/pop?

A skin infection can resolve without bursting or popping. If a pocket of pus forms, it will generally burst or pop if not drained by incision. For healthy diet: http://www.choosemyplate.gov/., exercise 30 minutes/day, drink enough water daily so your urine is mostly colorless, have safe sex, no tobacco alcohol weed or street drugs. Get HPV and Covid vaccines.

Yes. The inflammation may resolve. If small enough, the modus for the infection may be digested by your Immune system. Other times the inflammation goes down but the cyst persists. Only to flare up again in the future If it’s gone away and doesn’t bother you just watch it. If it keeps bothering you or keeps coming back to see a doctor.