Yes, the word 'that' is an adjective when placed before a noun to describe the noun: When used to indicate a person, place, thing, or degree as indicated, mention
…ed before, present, or as well-known or characteristic. For example: That man is her teacher. When used to indicate the more remote in time, place, or thought of two persons, things, etc., already mentioned; opposed to this. For example: This car is hers and that one is mine. When used to imply mere contradistinction; opposed to this. For example: No, not this book, that one. The word 'that' also functions as: a demonstrative pronoun, a word that takes the place of a noun indicating near or far in place or time. The demonstrative pronouns are this, that, these, those. For example: I would like some of that. a relative pronoun, a word that takes introduces a relative clause (a group of words that includes a subject an a verb, that gives information about its antecedent). The relative pronouns are who, whom, whose, which, that. For example: The puppy that I like is the beagle. an adverb, a word that modifies a verb, an adjective, or another adverb. For example: It wasn't that funny. a conjunction, a word used to connect clauses or sentences. For example: He told me that he would be here at nine. (MORE)