Uh, no, the reason the USSR fell was perestroika, which can be blamed mostly on the leader at the time, Gorbachev:
The reason Perestroika was so devastating, besides its economic consequences, was that Gorb had denounced the economic system of the 1930s-1985 as an "administrative-command economy," a supposed bureaucratic distortion of socialism. By contrast, he portrayed Perestroika as a return to Lenin and the birth of a genuinely socialist economy.
This meant that, due to the disastrous record of Perestroika, many citizens became convinced that socialism was unsalvageable and capitalism was required to develop the country's economy.
This was linked to Gorby's other major policy: Glasnost. At first this simply meant that the media and party/state officials should be more willing to discuss shortcomings in Soviet society and for academics to research and publish on "taboo" subjects like crime rates.
However, Glasnost was also applied to the history of the Soviet Union. This was supposed to mean treating the history of the country and CPSU more objectively. Instead it became an excuse for right-wing historians and other academics to attack both, in tandem with anti-communists emerging in the press and among the republics with nationalist tirades and attacks on socialism.
Gorby's "democratization" of the Soviet political system resulted in more chaos, with the CPSU ridden with factions and unable to exercise any vanguard role whatsoever, further adding to the demoralization of the population.
So yeah if Gorby never did Perestroika, and at least kept strict control over Glasnost (which he refused to do), the USSR would have absolutely lasted longer than it did, possibly even lasting today.
The USSR had all sorts of problems in 1985: declining growth rates, growing cynicism among the population, the unending war in Afghanistan, the arms race, etc. The Soviet system wasn't in a crisis, but people clearly wanted change.