I received a new crown. It chipped within two days. Is this normal?

In my office I would replace the crown if it broke in two days assuming there was not trauma involved.  All offices are different. Discuss the concerns with your dentist and they will let you know what they are willing to do.  Best option is always to communicate.  Good luck. 

You don't mention what you were doing when the crown chipped. This can make a difference about your responsibility to cover the cost. I'm sure if you share your concerns with your dentist an amicable solution can be reached.