I’ve been doing some posts for the Tutorhub blog recently and this was one of the subjects that came up for discussion. Many home schoolers reading this will know the answer; course you can! It’s not the schooling that makes an education but the approach.
Do go over and check out the post and others I’ve written about home education (here). And whilst you’re there you might like to look at the tutor resources they have on offer. Many home educators use an approach without tutors of any kind, but some do and knowing this resource is here if you want it gives you confidence to try something different from school if you kids are not happy there and you want to try home education.