Absolutely. This is a simple one.
And you’d probably be ok to use a “vampire” style inline taps on the feeders feeding each breaker from the meter section; however, that’s a listed assembly so it could get rejected.
Your best bet is to simply use the 120% rule with what you’ve already got, 120%x200a rating=240-100a existing breaker=140a net backfeed, so 80a or 15kw should be no problem.
Remember to apply early, 15kw should only be a problem if your service happens to be fed by a 10kva tx from the utility and you’re the solo customer.