Only if it is only spinning along one axis. Very likely to be spinning on multiple axis. That said, with enough money and effort I'm sure we could figure something out, like shooting it strategically with small projectiles to slow the spin, etc.
https://rotations.berkeley.edu/a-tumbling-t-handle-in-space/
You can demonstrate it at home with your smartphone (or, more canonically, a tennis racket), and see for yourself that the tumbling happens much too quickly to be explained by whatever force the air is imparting.
Wikipedia talks of "chaotic rotation" of astronomical objects, but only over long timescales due to gravitational interactions and thermal effects. On short timescales, its axis shouldn't change much at all, unless you bump into it and apply an off-axis torque.
[0] https://en.wikipedia.org/wiki/Precession#Torque-free_or_torq...