Really, no. No action or policy of Reagan was responsible for what happened to the USSR. The USSR's economy was dead in the water before Reagan took office. The USSR did not change any policies in response to anything that Reagan did.
What Gorbachev did was in response to factors that had nothing to do with Reagan. He was trying to revive the economy that had at that point been moribund for at least a decade. He just lost control of it. Gorby was not reacting to Reagan at all.
If anything, Reagan tried to revive the USSR and strengthen it. He used US tax dollars to subsidize Soviet food imports, letting the USSR spend more money on guns pointed at us. He also worked to create oil and gas exports from the USSR so that they could earn more money to support their empire.
The only thing Reagan did which could be considered a positive towards the end of the USSR was in meeting with Gorby and signing some arms control treaties. This weakened the hand of Soviet hardliners in internal political battles against Gorby. But the USSR was coming apart at the seems long before that.