Yes.  There are a number of online programs, classes, etc. for neurotypical and gifted.  Some are free; some are not.  E-Learning for kids (
http://www.e-learningforkids.org/) is free and has elementary material for English, math, social studies, etc.  You might see how that goes.  You could also pick up a printed general curriculum guide for less than $10 too and see how that goes and how quickly he accelerates.
My 2e/pg ds8 was similar to your son at that age.  He was in a private, gifted school at 5.  He quickly accelerated through the pre-k (MA redshirts kids and, for my son, this was the second yr of pre-K due to moving), kindy, 1st grade curriculum.  He started to have behavioral problems, fidget, psychosomatic symptoms etc.  School wondered if he had ADHD too - which he doesn't.  My son was just bored and the school was a mismatch for him.
The long story is that we're un/homeschooling him now.