The word fight is a verb (fight, fights, fighting, fought), and a noun (fight, fights).
Verb: We don't want to fight about it.
Noun: Their fight lasted most of the night.
The adjective forms are the present participle of the verb, fighting (fighting words), the past participle of the verb, fought (a fought battle), and fightable (a fightablepoint).
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No - fought is a verb (past tense of fight), and in would be a preposition because it would be followed by a noun or date. In other cases, in can be an adverb (He ran to the pool and jumped in).