I doubt that very much....
The SR-71 had very specific flight parameters, violating them usually meant loss of airframe.
There is no stall in the classic sense where an abrupt loss in lift would occur at critical angle of attack. (See Figure 6-2, Lift vs Angle of Attack.) Instead, a nose-up pitching moment develops as angle of attack increases, which becomes uncontrollable (even with full nose-down elevon) as the critical angle of attack boundary is reached. (See Figure 6-3, Subsonic Critical Angle of Attack Boundary.) An uncontrollable pitch-up will not occur until after limit angle of attack as given in Section V is reached. The SAS will tend to maintain apparent stability about all three axis until pitch-up occurs, then aircraft control is lost with little or no warning.
The AoA figures in Section V:
6 degrees with manual inlet above 70,000 feet
8 degrees supersonic
10 degrees subsonic, above FL250
14 degrees below FL250
The SR-71 was a very finicky aircraft, requiring gentle control inputs under very specific conditions. Things like a zoom climb would have been very risky, almost assuredly violating the AoA. This film on Youtube shows how easily the SR-71 can be upset, resulting in structural failure upon pitch up. Notice that once the AoA is exceeded the aircraft starts to disintegrate from aerodynamic forces.
Also, above about 85,000 feet the aircraft becomes thrust limited and cannot climb higher while maintaining speed.
Strip
