Not that I recall. Every other mention has been him either sperging about how he doesn't have it or him making up fantasies about him getting it and shaving off his gnome beard and revealing he had magically transformed into a preteen elf maiden.
As of April 2017 he confirmed he wasn't on it.
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These tweets from September 2017 seem to have been Googleshnged in a way to imply he actually was on HRT.
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This conversation was about a job listing at Paizo and some chucklefucks laughing about "straight cis white bearded dudes." Jake, a cis straight white bearded dude, claimed to have applied for this and implied he would "hopefully" be "far along" on HRT and gnome beard removal so he looked more like Jason Keeley's avatar there instead of the bearded gnome he currently is.
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A month later, he chimped out repeatedly after the state of Connecticut wouldn't pay for laser hair removal for Jake unless he had proof he was actually trying to "transition," including two years of HRT. Jake considered that an outrage because he would be incapable of shaving and look like a "woman with a full beard," so, much like how he says he is wearing clothes from high school because no one knows they
have to take him clothes shopping, if it can't be magically done (or paid for) by someone else, it's unfair and Jake throws a tantrum. Note the bit at the bottom where he whines that gender identity disorder is a "fictitious mental disorder."
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