I interpret the question as
"I have a FMS with GPS and IRS. The SID is based on a VOR/DME. Can I use it with the VOR u/S?"
probably not, legaly speaking, but with such FMS you have a navigation accuracy way better than with the VOR/DME, so you can accurately fly the damned SID.
In the case of a non GPS FMS, probably you can fly it very accurately too, as long as you have estimated position error of 5 or less, which is what a VOR/DME gives. after take off, IRS alone is better than 5.