No, the name comes from the Bible, which corresponds to the two John in the Bible. The original text is Yochanan in Hebrew, John in English, Hans in German (a little English is also called John) and Ivan in Slavic (please allow me to take Russian as the representative). In fact, the origin is the same, because the period and way of language conversion are different. Some are translated into Greek first and then translated freely, some are Greek direct Latin, and some are borrowed from other countries, so the name Ivan is also used in non-Slavic languages.