Yes, many schools now enable parents to check their child's grades, and to a lesser degree, homework assignments online. I cannot say for sure whether your child's particular school allows parents to do so, but it's definitely worth checking into! Being able to keep up with your child's academic successes via the Internet is a great way to stay involved in his or her education.
I suggest you contact your child's school directly to determine whether his particular school maintains a program for parents to check grades and assignments. Below, I'm including a link to our Find a School resource that can help you track down the school's contact information and website.