Yes, but (without being a scholar of religion) I had always assumed that Hinduism was far older than its oldest surviving texts, just as Judaism, in some form, is older than whatever year we date the Torah to.
The rig veda is probably what most people agree is one of the foundational texts of hinduism, but it dates to about 1500 BC.
However, the vedas probably absorbed a lot of earlier cultural tradition from the indus valley civilization, especially worship of Shiva-like deities. How much is however, debated.
just like mesopotamia, there was a lot of syncretism.