Can replacing a 10 seer heat pump with a 13 seer hp affect the air handler that's 10 seer?

I have been told that if you are going to replace a 10 seer with a 13 seer, you have to change the coil on the inside unit to work with a 13 seer heap pump.

In order to gain the extra energy efficiency yes you would need to replace the air handler as well.