Yes you can! The hard part is getting known.
I would start off pulling together a good marketing 'Stick' how about leveraging your self as a woman? I know of a few car repair garages that do that so other woman are not intimidated when they are trying to get their car fixed.
Next, pull together a good name, logo & collateral to promote your self. Don't forget about the Web! Get a web page made and setup a mail system so people can post appointment requests.
Talk with some local people who are running their own business read a couple of good books on how others did it. Keep in mind 50% of startups fail within the first year!
Lastly, get a second phone for your business line and talk with an accountant and a good lawyer to help you setup the needed books, IRS, State & local taxes and permits. There is quite a lot of paperwork before you can even do your first job!
Keep in mind it will take you at least a year or two to get the same paycheck you have now (minus your expenses). So make sure you have enough savings to carry yourself as you get started up.
Set goals and make sure you have a way to exit back into current job or some other if things don't pan out.