Yes, if the assumed business name of the associated broker meets the requirements for a team name since a team name must be used when the associated broker is associating with another broker. Keep in mind that the associated broker registers the assumed business name that is used when they are not associating with another broker and the broker that they are associating with registers the team name being used when associating with that broker. [Rule 535.154(a)(5)]

Note on Exclusive Name Use:  TREC does not, and is not, required to vet names submitted for registration as an assumed name or team name for exclusivity. A brokerage should decide whether it makes good sense from a liability exposure standpoint to allow an associated broker (or a sales agent who owns a business entity) to use the same name for a team name under the brokerage that they have registered as an assumed name under their own licensed business entity.