Yes. In my state all you have to do is tell the board of education that you are homeschooling at the beginning of the school year and then report hours at the end, nothing specific, just general hours.
We live in a pretty easy state (SC). We are supposed to track days and that's pretty much all we're supposed to track (we aren't required, as homeschoolers, to test)... well, days and grades. Because we take homeschooling year by year, we do keep track of those things (rather, at the end of the year I track them and go through her papers to establish grades) *just in case* she goes back to school one year (they always ask for those things).
I live in Indiana. Here you are only required to have your kids in "school" 180 days. I have heard that no one ever checks up on this. However, I have an attendence book that I put in their attendence and it also has a list of their classes and I write down what they did that day. I would rather be safe than sorry. JMO
In Nebraska, you just have to submit a scope and sequence and tell how many hours a month you homeschool. They don't require testing, but I tested my eldest at the end of last year and will be testing both my boys this year. My daughter won't be tested until the third grade (when I start testing).
I keep track of everything I use and all websites I use plus any books. I also keep most of their work. I don't do this for the officials as much as I do it because I love proving that what I do is above and beyond anythingand everything they could ever do and I work with less equipment and less financing. And the reasons why, are because I LOVE my kids more than anyone else ever could and I care about their well being their whole entire lives. Who else is going to feel these deep emotions and make the self scacrifices that I do and will do? Will they? humph! I also love to show that they are entirely wrong in their perceptions of homeschoolers and their way of homeschooling. All the many different ways. :)