Yes, I certainly do think it possible. But it will be more difficult and slower going. Read widely, as the biggest hurdle for a self-learner will be in identifying and filling their gaps of knowledge. Read papers so you learn how to use language such that you are not setting off any crank or dangerous dabbler alarms. Reading lots is also necessary to habituate yourself to the jargon. Read the books by David MacKay and Christopher Bishop. Don't waste time if you're stuck on papers, it means either you're lacking either the shared knowledge or the authors are being purposely obtuse. Save anything you think is the prior for later (unless is a minor iteration of something, which most are). It might take multiple readings spread out over a large time span before you can truly understand the important concepts and papers.
If you can, try and organize or join study groups where the levels of skill are varying. Having a group will help in those times when it seems all too much and you're ready to quit.
Finally, don't try to compete with the well heeled industry titans and their GPU Factory Farms. Find an understudied but important niche where your lack of knowledge is not so much a setback because even if available mental tools will differ, everyone is equally ignorant on the terrain.