Unlikely. By the late 1970's the USSR's infrastructure was stagnating fast under a facade of lies and miscommunication. The biggest problem is that although Andropov knew that things had to change, he didn't know how to change them. You need a complete shift in his mentality and for that you'd need a bigger - or perhaps earlier - POD.
not only that.. but Andropov was not exactly keen on the reforms that would be needed.. ask the Czech's and Hungarians on that that...
Alexi Kosygin made attempts .. only problem is that the system was so far gone into corruption and bureaucratic malaise that not much was going to save it at that time..
Gorbachev was not a solution at that point either since his star really didnt start rising until Andropov took over. and besides.. would Gorbachev have acted the same in 77 as he did in 85? I doubt it since a man acts according to his time and surroundings.
Best thing to save Soviet Union would be curtail military spending.. IE. cut back on the arms race. stay out of Afghanistan, stop supporting all the failing third world countries that they were and concentrate on economic and political reforms that could save the nation.
Short of that you will need a pod before Stalin or have Khrushchev do a better job at selling his vision.