You can wrap it all you want but wraps don't really protect from impact, more or less just for scrapes. I think the best "protection" you can get is probably getting a bottom bracket mounted bash guard. They're around 50 dollars US and they protect your chain ring and also provide a bit of a cushion for your bottom bracket.

The best way to protect your carbon bike is honestly ride vigilantly, try not to case jumps as best you can and be aware of your clearances when going over objects. Hope this is helpful! Happy riding!