Not at all! qw/his hers its/ are all of the same kind but for different genders. None of them have an apostrophe and all end in 's'.

Nouns take /'s/ to become possessive. Pronouns have built-in possessive meaning if they are possessive pronouns, and none take an /'s/ to become possessive.

You are confused because /it/ and /its/ have similar spellings, in contrast to /him/ and /his/ and other such pairs. But /it/ is a pronoun, not a noun.