Unfortunately not and its aerosoft not fslabs.
Doesn't make any difference, the Aerosoft also has some constrains you must clear before being able to pushback. As explained in that other thread, normally GSX will TELL you what is expecting from you, but if the airplane has disabled the message bar, because it's supposed to control GSX on its own, you don't know what you are supposed to do, and assume GSX is "stuck", but it's not.
Try with a default airplane, to be sure GSX is working.