A closer look
No, am is not a pronoun. It is the first person singular present form of the verb to be, the word paired with I. In I am here, the pronoun is I; am is the linking verb that connects the subject to the state, and the two words keep separate jobs.
Say I am tired. The pronoun I names the speaker, and am is the verb doing the work, telling us the state holds right now.
In Am I late?, the same pair flips order for a question, yet the jobs stay fixed: I is still the pronoun, am still the verb.
The nearest confusion is the verb be itself. Unlike most verbs, it does not follow one tidy pattern, so it is called irregular, and am is just its shape for first person singular in the present.