Could a pilot navigate using distances and radials from an RNAV waypoint, similar to VOR navigation? I know that typically RNAV navigation involves a list of waypoints, and the aircraft simply flies from one point to the next.  What I'm curious about is if a procedure could be developed (as a special engine out procedure, for example) that would be something like 


  Depart on runway heading. At distance 2nm from FOBAR waypoint, turn
  direct to FOBAR. Track radial 090 outbound from FOBAR.


Would the instruments in an RNAV equipped aircraft allow a procedure like that to be flown?  Would it require a certain system (say only from a certain manufacturer), or require additional systems (like an FMS)?

CLARIFICATION FROM COMMENTS:
I understand that a procedure like the one above would not be typical or preferred, but in very hazardous terrain (for example) with no real other options, would the pilot simply have the tools available to be able to fly it?

If it matters, I'm particularly interested in commercial aviation and answers that would be applicable to any airport worldwide.
In a modern B737 (NG/MAX) (and probably most other comparable aircraft), this is trivial. The simplest (and most realistic option for an emergency turn procedure) would be to fly the procedure in HDG SEL:


Enter FOBAR on FIX page
Add a 2 nm range ring for FOBAR on the FIX page. This ring will be displayed on the ND (Navigation Display)
Add the 90 radial for FOBAR on the FIX page. This radial will be displayed on the ND.
Fly the procedure in HDG SEL, monitoring the ND.