I don't believe so.
CRJ-100/200 are the same aircraft on the TCDS (CL600-2B19) and CRJ-700 (CL600-2C24 IIRC) is common crew qualified with the 100/200, but the CL605 (and 604; both are CL600-2B16) do not to my knowledge have any common crew relationship to the various CRJs.
There are obviously a lot of commonalities in the design (the CL-605 and the CRJ-100/200 both sharing the CL-601 as a common ancestor design-wise) but there are enough differences too that while you might feel more comfortable than in an entirely new type I don't think you get any credit for the CRJ.