Absolutely no reason you can't.
Both will charge according to their ability and the battery's need. Since each have their own controller each will work independently and NO, there will be no "fighting" that will interfere with their outputs. A myth.
"A wise man can change his mind. A fool never will."
"You only grow old when you run out of new things to do"
2018 Flagstaff Micro Lite 25BDS
2004 Nissan Titan