That can certainly be done, my story is quite similar. Got my Private license at age 40, 4 years later, working as a CFI. Single and debt-free made it simpler than most. While working through the ratings, I was overseas 6 months of the year (earning the money for training), and started out with no intention of being a professional, just sort of kept going down the "path." You could surely get those ratings in less time. Then another 2 years building time as a freelance instructor in a small town. The time-building could be done quicker as well, if you went to a busy big-city flight school as an instructor, where you would most likely be flying a lot. My first Part 135 job was 1st officer fixed-wing air ambulance, at that time it was 2-pilot. You'll probably need a minimum of 1200 hours, most air ambulance ops are single-pilot these days, that's the requirement for Part 135 PIC. Many operators want pilots to have their ATP license, so that's 1500 hours minimum.
So, for me, starting at age 40, flying over 30 years, with 25 years professionally, now ready to retire, it's been a good run. Instructing, charter, corporate flying, I never wanted airlines (religiously opposed to wearing neckties), and by preference in smaller towns, was never going to get rich, but I've made a good living.
Go for it!