Yes. Highlight the area of the transition envelope, copy/ctrl+c. Then click into the new transition where you wish to paste it, and ctrl+v. Pretty painless.
1/ I make a transition between to Event (Push Up)
2/ Insert a Transition Progress Envelope
3/ Define several points
4/ Use Envelope Edit Tool and double-click on transition to highlight aera of the transition envelope.
5/ hit Ctrl+C, Click on the new transition and hit Ctrl+V