From the sounds of your post I'm thinking it's probably not the case, but - do you work from home or have some sort of flexibility thereof, such as flexible hours or an ability to do at least some work at home? Or, based on the previous question, could you partially homeschooling, or after school? How old is your child (a middle or high schooler could be left alone for part of the day, for example, if you could be work from home part of the day)? I'm sorry to ask so many questions (don't answer them if you don't want to), but the more information the better to know. I wouldn't yet say it's completely impossible, but (not being a homeschooled myself), there will always be challenges in homeschooling no matter your situation.
And welcome, by the way. :-)