Airlines eligibility to take the ferry from zhongshan to hong kong airport

I would want to take the ZS port ferry directly to HK airport. I understand there are some airlines not eligible to use this service. Therefore I need to know if my ANA flight (All Nippon Airways) is eligible for me to use this route? My flight is at 2:25 p.m. and the earliest ferry from ZS to the airport is at 10:00 a.m. If not, what are my options to catch this 2:25 p.m. flight from ZS, China?