Is this sort of Java exception style bad practice?

Question

Is it considered bad practice to have multiple try's in one method and structure the code like this?

public void whatever() {
   try {
     methodThatMayThrowIOException();
   } catch(IOException io) {
     // do something with exception here
   }

   // do more stuff here that won't throw exceptions

   try {
     methodThatMayThrowCustomException();
   } catch(CustomException ce) {
     // do something with custom exception here
   }
}

Answer 1

If the method can continue execution, without any problems even if the specified exception occurs this should be fine.

In the event where the exception should cause problems further down the line in the method, I would have it bubble up.