Short answer: Absolutely. Why ? Because many people are already doing it (including me).
It all comes down to the path you take to get there. The destination is totally possible. The path will determine whether you are able to get there or not.
Write down 5 of your best ideas on paper or wherever. Then leave it for a few days. If you think of a new idea someday, go back to that old list and check if that idea was already something you wrote before. Give it an extra point. Rinse and repeat until you realize that you keep coming back to one idea more than others. Pick that one. Of course, you could already believe strongly in an idea and then you don't ned to do all this.
Next step is to build a prototype of this idea. If you can build a web app yourself, then do it using the language/framework you are comfortable with. DO NOT think about whether this is the right language/framework. IT DOES NOT MATTER AT THIS TIME. Heck, use Wordpress to patch a bare minimum working prototype if you really need to. But you need to get something out there. Something that is not in your head but something concrete. It does not have to be pretty or slick. Trust me. The other side of it is that you will NEVER release something and that is worse than releasing garbage.
Work on getting traction on this. I don't know how to tell you every possible way to achieve this as this is where the real challenge is.
Once you get decent enough traction, then you can choose to quit your job if you can afford to do that. Save, save save. If you want to have another partner/help, think about getting that person on board. Or may be you want to remain solo. that is fine for the type of business you asked about.
Then you know what comes next ?Just fuckin quit your job!! I did that. Yes, you can do that. There will NEVER be a right time to do it. If you are ready, you are ready. Otherwise you are never ready. Don't think about what you will lose by quitting your job. That is small compared to what you may be gaining. But be ready to lose it all. Have that spirit. You will do fine.
All the best.