The chances are very slim and I'll tell you why, but bare with me, this might be a long read.
Being a professional fighter is nothing easy. You might think it's just a question of fighting, but it isn't, the mental aspect behind this sport is everything. You can definitely have some amateur fights, I know many people who started "late" in their lives and ended up competing many times on the amateur level, the oldest being 53 years old (keep in mind he was a retired prison guard, fairly massive and he lost his fight). Turning pro is different though. When you turn pro you enter a different category of fighters. I once had a very good coach tell me, 1 out of 100 people who train martial arts will turn amateur, 1 out of 100 amateurs will turn pro, 1 out of 100 pros will join the UFC, 1 out of 100 UFC fighters will be champion. The professional scene excludes the "posers". You will find a lot of people who just do this for the fun of it or who aren't really serious on the amateur scene. They get filtered out once you turn pro. Once you turn professional you will most likely find yourself within a pool of fighters chasing a dream, long story short, most of them aren't fucking around, I say most because you always have slackers. You will most likely be competing with people in their athletic prime, much younger than you, with more experience. With that being said, most of them won't ever join the UFC. I know very good fighters who've spent their "lives" chasing this dream, only to wake up one day at 32 years of age and realize they've past their prime athletic years fighting in low tier organisations, for pennies and the wear and tear got to them. I will also state the ones who do get the call, only to go 0-2, get cut and realize that they have another mountain to climb before getting another call. This shit is not easy. The best chance you've got is if you are a HW, with decent athletic capabilities and not gun shy.
I definitely recommend you try competing. You learn a lot about this sport, see things in a different way and understand things most sherdoggers can't. It will make you think twice before bashing a fighter. If you really want to try this out, I've competed in Muay Thai, Boxing and Kickboxing, so I believe I'm certified to give you advice.
1. Find a good coach. Seems obvious but it isn't. A good coach is everything. You might think a coach is good, only to realize a couple years down the road that he really wasn't. Ask around many gyms, and yes, pay the extra price for private classes, group classes will bring you no where. A coach with competitive experience is a must if you plan on competing. *Tip: If he doesn't spend the first weeks/months teaching you the absolute basics, drop him. Avoid the pad porn 10 punch combo coaches, only good for Instagram.
2. Find a small-medium sized gym. If you are low level, high level sparring partners aren't crucial and you can always go find them in other gyms. The smaller, the most attention you will get, most of the time.
3. Have a side career job. The chances that you become successful doing this are very slim. Pursue a career you love on the side, pay your bills and make sure you have something to fall back on, because you might very well decide this is not for you when you get your first ass whooping (it will happen). Working 9-5 and going to the gym after is not easy, but you either want it or you don't.
4. Don't underestimate how grueling this is. It's mentally and physically draining. Learn to live with pain, it will be part of your life. Broken Hand, Broken Foot, Cracked Shin, Separated Left-Shoulder, Metal Plate In Right Shoulder, all fight/training related for me.
5. Don't half-ass. I won't go into detail, but have a structured training. Six days a week, every fucking week. Don't skip practice.
6. Make sure you do this for the right reasons, because you love this and it's your passion, not because you are trying to impress an ex girlfriend.
Have a nice journey, hope I helped.