It is quite possible, but first you might want to try raising the pressure in BOTH vessels to something higher than the carbonation level. (pick something like 5 psi higher than what's in the beer.. Once both are at pressure, attach the jumper, then finally attach the picnic tap to the gas in post. VERY SLOWLY release pressure from the target keg, with the gas continuing to feed the source keg. The high pressure on both sides should keep the carbonation inside the beer, as well as keep the flow rate under control. The point is to allow the beer to replace the escaping gas very slowly. Then, once all the beer is in the new container, you can slowly relieve the pressure and bring it down to target pressure.
HTH-