Of course they can. They always could. It's also noteworthy that while we could give chapter and verse of multiple examples of trans-identifying males assaulting women in the women's bathrooms when asked (it's just that the numbers cited were deemed insufficient), the poster who said that trans-identifying men were being "habitually beaten and harrassed" in the men's room was unable to give a single example. It isn't a thing. They might be stared at, even laughed at, but they're not going to be beaten up.
Experiencing sudden memory loss, again, Rolfe? Did you forget about the Reuters article I posted in quick response to your claim? Transwomen in the USA experience about 32,000 instances of assault annually. That's not harrassment, either, which is a much larger percentage by an order of magnitude. That's physical and sexual assault.
Your 'data' are mostly twitter anecdotes, most of which don't even apply. You posted one with a long list of alleged trans offenders (although globally it is noise range). Unlinked, of course. I searched the first, who was a well known serial killer... who never identified as trans. His wikipedia page says he briefly wore dresses while in prison, possibly because he wanted access to the women inmates (he was a rapist after all), or that he was just stone cold nuts (which he appears to be). But aside from unevidenced claims from some openly bigoted articles, he never identified as trans.
Spot checking through the list (no, I didn't go through every unsourced name), One was a sexual predator that offended as a man, served his time, and later came out as trans, but was never even accused of reoffending.
So i gave some available data. You have not, to date, at least as long as I've been ITT, except for the claim of the 79 unspecified trans sex offenders incarcerated in the UK, which we not only do not know what they did, but according to you guys, predators 'fake' being trans to exploit loopholes, so literally every one might not be trans.