Possible? Anything is possible but its incredibly rare and so unlikely its not worth planning a career out of it. In my 14 years AD they only had one crossflow window, that was only available to a very small audience of eligible pilots (based on their time on station, duration of PCS, years of service etc...) and they only selected an incredibly small number of people. The fighter community generally doesn't have an interest in taking crossflows and has found it has worked better for them to suffer undermanned than to deal with perceived cultural friction. There is probably some merit to some of this, a lot of the rest is probably ball wash, regardless, the AF has by and large decided it is not a good idea.
Being a heavy pilot isn't all that bad. Its a pretty hefty pay raise when you account for all of the per diem dollars of being on the road constantly. You will lead earlier in your career because you will actually have enlisted aircrew hanging around the squadron. You will have a slightly easier time transitioning airlines as your experience is more relevant, dont need to worry about centerline thrust restrictions and that bullshit. You get to go to some cool places fighter dudes never see, like St John's.
My best advice is to discount the possibility of crossflow for now because in the near term you have an incredibly important decision to make regarding the platforms that are available to you--and fighters aren't one of them. Whether crossflow happens again or not, your success in life is largely going to depend on your ability to fly the platform you earn out of UPT. So you should look at the mission sets that are available to you and decide what you find interesting, what you can see yourself doing long term. Read the airframe and mission thread and ask your IPs. Air Refueling, Airlift, C2ISR, SOF, etc.... they all have pros and cons.