Is there baggage wrapping at Haikou Meilan for those travellers needing extra security in bags?

Yes, the airport provides this service for passengers. There are two service counters in the domestic terminal building:
1. West Side of Gate No.2, Departure Hall
Service Hours: According to the flight schedule
2. East Side of Gate No.4, Departure Hall
Service Hours: 05:00-20:30

In addition, there is only one service counter in the international terminal building. The location is Check-in Counter No.109.
You can easily find the metioned places according to the clear English signs at the airport. Don't worry.