This is a good question, but we need just a little more information to provide you with a correct answer.
What grade is your son currently in? I am wondering when I read this, and you mention that his birthday is in August, was he unable to begin due to cut off dates, and will be entering in the 12 th grade? If that is the case, then yes, he will be able to continue.
If he will complete 12 th grade this year, then no, he can not continue a high school education.
If he has failed prior grade levels, then yes, he can continue to receive his education and may want to check into some of the Summer School programs to complete work to achieve a diploma without actually re-entering for another complete school year.
Please provide us with all information, so that we may better help you.