It seems plausible given the division of Germany, but I haven't been able to find anything that says one way or another so help would be greatly appreciated.
Yes, they did. Specifically there was Operation Osoaviakhim, which sought to recruit (mostly voluntarily) veterans of the German rocket program in the Soviet occupation zone. One of the more notable ones was Helmut Gröttrup, who had created the guidance system for the V-2.
They did not manage to recruit as many of the main people as the Americans did with Operation Paperclip, but on the other hand the Soviets acquired more rockets and related equipment, since the main facilities (Peenemünde, Mittelwerk) were located in the Soviet zone.
It is worth noting that in general the Soviets used their Germans differently than the Americans. The Americans grabbed a lot of designers and engineers and promoted them to very high levels in their program. The Soviets maintained deep suspicions of Germans and kept them in secondary, often compartmentalized roles. The Soviets did not expect the Germans to stay in the USSR for a long period of time; the Americans hoped they could turn the Germans into American citizens.