Is there any version of arduino that can do something like serial interruption?
It is not a case of "An Arduino" that can do serial interupts. All Arduino boards have serial interrupts, but they are already used to receive the data and store it in a buffer for you to consume when you have the time.

The Arduino API does not define any serial interrupt handling routines. That kind of thing is designed to be handled internally by the API code, not by the user. That's the whole point of the Arduino API - to abstract away such technicalities from the user.

If you want to use the serial interrupt yourself you will have to write your own serial handling code.

Or write your code in such a way that serial interrupts aren't needed.