Nope. The Treo 180 was the first Treo that had phone capabilities, and it was released in 2002. The first BlackBerry that had phone capabilities was also released in 2002, but the first BlackBerry that didn't require an external headset to talk with wasn't released until 2003. BlackBerry was in no way years early to the smartphone market - they just approached it from a different angle.

Don't forget the Handspring Visors and Compaq iPAQs that could be turned into smartphone-equivalents with the appropriate add-ons. Those came even earlier.