Is the word there a verb?

Answer 1

No.

There can be used as an adjective, a noun, a pronoun and an adverb, but not a verb.

A verb is a word that describes an action (run, walk, etc), a state of being (exist, stand, etc) or occurrence (happen, become, etc).

A noun is a word that is used to describe a person (man, lady, teacher, etc), place (home, city, beach, etc) or thing (car, banana, book, etc).

An adjective is a word that describes a noun (the car is blue / it was a cold day / etc).

An adverb is a word that tells us more about a verb (My dog Fifi barks loudly / Nicola is really beautiful).

Pronouns are small words that take the place of a noun or substitutes a noun (he, she, you, some, each, etc).

Answer 2

No, "there" is not a verb. It is typically used as an adverb or pronoun to indicate a place or exist within a sentence.