"No, but yes, because it's a different unnamed party than the one I imagine you intended"?
In principal, no, non-fascist authoritarianisms can exist. In modern practice, they are comparatively rare. Leninism in the narrow sense was internationalist rather than nationalist, but most of its later derivatives (starting, in the USSR with “socialism in one country”) have shaded progressively more toward nationalism. Superficially “left” authoritarianisms (again, largely, Leninism and its derivatives) may have a rhetorical bent toward egalitarianism that contrasts with fascisms elitist/heirarchicalism, but even in old-school Leninism its distinction from Marxism is its adoption of vanguardism which naturally tends toward hierarchy, and that’s even more intense in its subsequent derivatives, both institutionalized with state power and, in many case, in revolutionary movements; the necessity of armed power to maintain authoritarian systems makes institutionalized authoritarianism naturally tend toward militarism even when as movements they might present as anti-militaristic. All of the modern authoritarian movements are corporatist, whether by bringing “outside” groups formally into regime decision-making, or abolishing them and replacing them with formal state institutions, or by assuring that “outside” interests are run by people connected to the regime and informally coordinating power, even if there aren’t part of formal decisionmaking.