Not at all, it had more to do with material conditions and policy changes of the time: previous wars, undeveloped productive forces leading to very low productivity, forced collectivization leading to peasants mass slaughtering livestock and destroying grain in protest, etc.
Blaming it strictly on the form of government is pretty much anarchist ideological nonsense. This quote sums it up quite well IMO:
Everything sinister evoked by the single word “Stalinism” in the minds of most of our contemporaries - the appalling misery of Russia after 1920; the draconian labour laws imposed on it; the reign of the police and the practice of political assassination erected to a principle; the agrarian revolution “from above” of the years 1927-28 and its terrible consequences; “the Soviet Famine” of 1932; the mass repressions; the sinister farce of show trials and the delusional self-accusations of the victims; and above all the odious and unchanging litany of the victorious march of the USSR towards a liberating communism under the leadership of its great party and its beloved leader – all this, absolutely everything could have a simple explanation, one of truly magical convenience: State management, of course, or even, which amounts to the same thing: the uncontrolled reign of the Stalinist bureaucracy. But then, what about the fact that the revolution took place after the war, the weight of the Russian peasantry, the numerical weakness of the proletariat aggravated by the bloodletting of the civil war and by its lack of education, the low level of culture in general, the weight and the inertia of feudal traditions and gross brutality, the isolation of the proletarian Marxist party, international conditions, the barbaric statist tradition of Asian despotism, the demands of the political counter-revolution? These are mere trifles in the eyes of the self-managed socialists, mere trifles that do not explain a thousandth of what their two magic words say: “State management” or “uncontrolled bureaucracy” thanks to the insidious influence that the age-old poppycock of Proudhon and Bakunin exercises on them! How else did they think that, in the absence of “State management”, the oppressed can control anything before the terrible steamroller of capitalist accumulation and bourgeois domination?
From Revolution Summed Up, a good analysis of what exactly went wrong