Are Semitic Languages Indo European?

The Indo-Semitic hypothesis maintains that a genetic relationship exists between Indo-European and Semitic and that the Indo-European and the Semitic language families descend from a prehistoric language ancestral to them both.

Is Hebrew Indo-European?

Classical Hebrew is not an Indo-European language. Modern (Israeli) Hebrew has however been described as a language with Semitic morphology and Indo-European (specifically: Yiddish) phonology and syntax.

Are Semitic and Indo-European languages related?

Like others have stated, there is no evidence that the Semitic and Indo-european families are related. Some think there may have been loan words between the two proto-languages, but that's the closest to a relationship that anyone seriously thinks exists between the two language families.