No, 5-minute breaks are only for low blows actually.
It's at the discretion of the referee to determine how much time you receive for a foul or if there are points to be deducted. Usually, they give them 5 minutes to recover.
If a foul is committed:
The referee shall call timeout.
The referee shall order the offending contestant to a neutral location.
The referee shall check the fouled contestant's condition and safety.
The referee shall then assess the foul to the offending contestant and deduct points if the referee deems it appropriate, and notify the commission, the corners, the official scorekeeper of his decision on whether the foul was accidental or intentional and whether a point is to be taken away.