Yes you can, as MrNumbers said.
The next step after placing the tile is what we usually call the "move the wood" phase, which is when you place your follower. Scoring is the next/final stage. So as long as you have at least one follower left in your supply, you can place this on your tile in the situation you described. But if you don't have any followers left, you can't take the follower you would get back by completing the other feature and place it in the same turn, because placing the follower comes before scoring.