Sure, but IAW 91.303, they'd have to stay at least 1500 AGL, i.e., well above the regular TPA, not to mention away from "any congested area of a city, town, or settlement". That would prohibit them from doing "what they want in the airport traffic pattern" if "what they want" involves "an intentional maneuver involving an abrupt change in an aircraft's attitude, an abnormal attitude, or abnormal acceleration, not necessary for normal flight". Such activity requires a waiver from 91.303 and an FDC NOTAM ("TFR"), not just an advisory D-NOTAM.
Exactly why 91.303 has the restrictions it does.