No it is not a verb.
It is used as a noun and a pronoun.
A verb is a word that describes either an action (walk, run, etc), an occurrence (become, happen, etc) or state of being (stand, exist, etc).
Depending on the context, address is already a verb. For example, "to address something or someone" or "to address a letter" is an action and therefore a verb.
The verb of assignment is assign. As in "to assign something or someone to something or someone".
Influence is already used as a verb. For example "to influence something or someone".
voulez que quelqu'un
The verb of criticism is criticise. As in "to criticise something or someone".
The verb of speech is speak. As in "to speak to someone".
the verb of labourer is labour. As in "to labour for someone".
The verb of diversion is divert. As in "to divert someone".
The verb of complaint is complain. As in "to complain to someone".
The verb for involvement is involve. As in "to involve someone".
The verb for hypnotist is hypnotise. As in "to hypnotise someone".
The verb of cautiously is caution. As in "to caution someone".