I am a birder and coming with my companion who is a non-birder. We would like to visit to some cultural sites in Sri Lanka too. Can you combine cultural site visits with birding tour?

Yes, it is possible and Walk With Jith and some other companies do so. This is the most popular tour type and more visitors ask to add some cultural site visits to their birding and wildlife tours. 
In Sri Lanka there are 6 World Heritage Cultural sites declared by UNESCO. 

  1. Sigiriya Rock Fortress
  2. Polonnaruwa Ancient Capital city
  3. Anuradhapura ancient capital city
  4. Dambulla Cave Temple
  5. Kandy city
  6. Galle Dutch Fort

Any of a single site or multiple site visits can be included to your birding or wildlife tour. Please speak with your agent and get more details. Walk With Jith will definitely do this for you.