Is it possible to apply “early” to a school under regular decision? For example, a specific scholarship for the school is due November 15th but the regular decision deadline is in January. Can I technically apply regular decision completing the scholarship requirements and school requirements by November 15th?
Yes, you can submit your application whenever you want before the deadline and after applications have opened (~August.) IIRC At most Common App schools using Slate, your applicant portal after your application has been submitted and it’s been downloaded by the college (typically the next day.) Make sure you submit both the general application and the writing supplement if required.
HOWEVER, some schools will only consider you for their major scholarships (like full-tuition/ride) if you apply Early Action or Early Decision. Others, like USC and Vanderbilt, allow you to apply Regular Decision for their major scholarships but require you to submit your application earlier than the RD deadline. So check the website and keep that in mind when selecting a decision plan on the Common App! 
Hope that helps! Good luck with admissions!