No, users can only grant Team permissions that they already have themselves.
The standard security principle is the following:
Users can only grant permissions they already possess
Users can’t elevate someone above their own access level
Authority flows downward, not upward
For example, the 'Team' permission only allows a user to invite other users; it does not give them the ability to grant any other permissions unless they have them.
You can learn more about Team members access here.