1. You can catch anything that extends java.lang.Throwable, and java.lang.Error indeed extends Throwable - so yes, you can catch Errors. Note that you could have found the answer yourself by quickly writing a small program to try it out. Experimenting is a great way to learn new things.
2. No, you should not normally catch Errors. Note that the API documentation of java.lang.Error says this:
An Error is a subclass of Throwable that indicates serious problems that a reasonable application should not try to catch. Most such errors are abnormal conditions.