Sure, but that's not socialism. That's state capitalism at most.
There is not gradient. If society is socialist then as per definition and as explained there must be authoritarianism to suppress any private initiative.
The article in French says the same thing as I wrote before: "socialist parties" are no longer socialist:
"Le socialisme démocratique, c'est-à-dire un socialisme converti à la démocratie libérale et respectueux du jeu parlementaire, représente aujourd'hui la tendance majoritaire des partis socialistes, qui n'envisagent plus la rupture avec l'économie de marché."
If they no longer want to get rid of the market economy and private ownership then they are no longer socialist at all! Socialism has demonstrably failed so they have been trying to adapt while keeping the name...