Kate is short for Katherine, Katharine or Catherine so the answer is yes.
Kate Hudsons stage name is Kate Hudson
Kate Stirling's birth name is Kate Manning.
Kate Haggar's birth name is Kate Silverton.
The name Kate is a Greek name.
Kate Nauta's birth name is Kate Lynne Nauta.
Kate Tucci's birth name is Kate Michael Tucci.
Kate Voegele's birth name is Kate Elizabeth Voegele.
Kate Elouise's birth name is Kate Eloise Whitfield.
Kate Emerick's birth name is Kate Rene Takach.
Kate Guinzburg's birth name is Kate Thornton Guinzburg.
Kate Hallam's birth name is Kate Elizabeth Hallam.
Kate Gosselin's birth name is Kate Irene Kreider.