Congrats on your accomplishments.
Per the last common data set, Gtown accepted 135 out of 2278 transfer applicants (around 6%).– so yes it is a longshot. If you want to attend Georgetown give it a go – your journey may resonate with them – if you don’t apply you will never know.
Be aware that Jesuit colleges typically have large core curriculum requirements (can be found online). As a transfer student it may be difficult to finish the core curriculum and graduate on time. You can compare the coursework you have taken to Georgetown’s graduation requirements.
Glad you have other schools in mind as well. Good luck.