No, the real call isn't until the electoral college votes on December 14th. The media is calling states when their projections are confident enough (and possibly when the difference is above the automatic recount threshold).
IIUC, litigation cannot (Constitutionally) change when the electoral college votes, when those votes are counted, or when the Presidency transfers. Assuming all states appoint electors in accordance with the safe harbor provisions of the Electoral Count Act, the "real call" is December 14th. If that doesn't happen, then it's possible neither candidate will have 270+ votes and in that case the "real call" is an unusually counted vote in the house.
With the current projections, it would likely have to be three states that fail to send electors properly for Biden to have a chance of losing.
