This weekend I bought a flying dragon at a local nursery. It appears that most of the leaves are curling. Is this normal?
I can't find any signs of pests on the plant...

No it isn't normal. Or it is normal response of the plant. Depends how you want to take it.
It is because of change of the environment. You didn't adapt it to the new environment. Maybe it is to brighter than before, darker.. Over-watering can do that too, also under-watering.