In short, yes, that is one interpretation that had crossed my mind!
In truth, the original narrative was very ambiguous- chasing a dream with the help of support and faith, and despite the loss of support or faith over time and change, what the dream stands for is never out of reach- but on about day 3/4 of the jam, as I was thinking about the metaphor and whether it was coming together mid-development, it occurred to me just how well a transgender narrative seemed to make sense with what was visually depicted!
I'm kind of ashamed that I hadn't designed for that in the first place, since it works surprisingly well in hindsight, but since I'm not an authority nor experienced person for the topic, I think I'd rather leave it undecided so that players can perceive that notion and own it for themselves!
Since I can't say that I'm trans myself, I wouldn't want to lead a story that wasn't personally validated, or worse, one that was potentially disruptive: for instance, the ending of "coming back home" in the finale cannot be a reality for some transgender people who are ejected from their families, and the game's theme of "transformation" might incite negative stereotypes about elements of transgender lifestyles and choice. Ultimately, I'd hope that a transperson could find value in the span of this tiny game, but I wouldn't want to prescribe that to the player! Here's to hoping it helps someone!
(and hey, thanks for the feedback! I greatly appreciate it!)