1. Seldom do I go to the hills.
  2. Seldom did I go to the hills.
    Are both correct?
    Somebody told me that you can’t make inversion in present tense.
    Is it true? Please comment.

No, incorrect, inversions have many tense possibilities.

Check this link for more explanation on this topic:


To clarify: Ozzy means that what someone told you want incorrect. The sentences are correct.