No. Thunderbolt is a newer bus architecture that is not found in the older Mac Pro models. This means that Thunderbolt is not incorporated into the logic board and cannot be added. To properly connect a Thunderbolt interface, it will require a newer computer that has native Thunderbolt support.

Here is an image of an older model (sometimes referred to as a "cheesegrater") that does not incorporate Thunderbolt:

Here are newer models of the Mac Pro that do incorporate Thunderbolt (2013 & 2019):