I don't think it can be added but I also don't think it makes much difference. I changed to non-foam tires within the first 400 or so miles with my Model Y so I couldn't really tell you how much difference it made for my Model Y. I CAN tell you that we went from Michelin Primacy tires WITH foam on our Model 3 to Michelin Pilot Sport AS 4 WITHOUT foam and it made no discernible difference.
I don't think you'll notice much, if any, difference going to the non-foam tires. I certainly wouldn't try to add it or pay a premium for tires that have it.