I think the bulk of the pro-trans movement would consider themselves progressive. I think that the bulk of progressives would consider themselves pro-trans.
I don't consider myself a progressive for just this reason. I would be considered a TERF by the trans community, not because I think trans people don't exist or arent worth of love, employment, and respect, but rather because there are some hot issues (bathroom access, sports access, how to handle children permanently transitioning, replacing cisgendered terminology in medical textbooks) that I believe merit more study or nuanced approaches.
At the end of the day, it comes down to the question of who has the right to define what labels, and I think most progressives would not call you a progressive if you don't 100% accept trans rights. Of course, this demands lockstep ideological behavior, which is rarely a good thing for long. Could you be progressive on some issues and not others? Certainly! But which mix defines you as "progressive" or not is not up to me.