my arduino won't talk to my LED strip

is there a chase function built into Fast_SPI

No.

is there a chase function built into Fast_SPI that I can use?

I am not familiar with the Fast_SPI but these should be no difference between that and the SPI, look under the menu libraries -> Fast_SPI
but at the end of the day it is just a protocol for talking to a device. What you do around that protocol is up to you and your ability to formulate an algorithm and write it. Both are two aspects of what it is to be a programmer.