Sort of.  The Italian artist and critic Giorgio Vasari (1511–1574), who wrote *The Lives of the Artists*, used the term "[rinascita][1]", which has similar connotations.  However, the term "Renaissance" proper was a later invention according to the book "The Renaissance" written by Paul Johnson. 

> The term "Renaissance" was first prominently used by the French
> historian Jules Michelet in 1858, and it was set in bronze two years
> later by Jacob Burckhardt when he published his great book The
> Civilization of the Renaissance in Italy. The usage stuck because it
> turned out to be a convenient way of describing the period of
> transition between the medieval epoch, when Europe was "Christendom,"
> and the beginning of the modern age.

[[Source: New York Times article on The Renaissance][2]]