Did Jesus Christ studied as a Rabbi when he was younger?

It's possible, but unlikely. Christ was the son of a carpenter and so He probably wasn't given the opportunity to study as a rabbi. However, Jews placed great importance on the education of their children, and that education was usually centered on the scriptures. The scriptures tell us that as a child, Jesus "increased in wisdom and stature, and in favour with God and man" so he learned just like anybody else. But this education along with His perfect life and by virtue of being the Christ granted Him an amazing command of the scriptures, proving that you don't have to be a pastor who has gotten a degree in theology to know the gospel and teach it.