At least incomplete LM, in theory a deep stall in a T tail light airplane is possible.
Ultimately it would depend on CoG and the momentum of the airplane
When flying at a very high AOA with a low airspeed and an aft CG, the T-tail aircraft may be susceptible to a deep stall. In a deep stall, the airflow over the horizontal tail is blanketed by the disturbed airflow from the wings and fuselage. In these circumstances, elevator or stabilator control could be diminished, making it difficult to recover from the stall. It should be noted that an aft CG is often a contributing factor in these incidents, since similar recovery problems are also found with conventional tail aircraft with an aft CG.
Source: FAA Flying handbook
Let me google that for you
Another advantage is that the arm to the CG is longer so the elevator is more effective which means the manufacturer can make it smaller.
Smaller stabilizer and elevator means less drag.