Did they have Cuneiform in the Paleolithic age?

Cuneiform appeared ca. 3100 BC in the Early Bronze Age with more primitive predecessors going back to perhaps ca. 4000 BC, the Paleolithic ended ca. 8000 BC.

So NO, they did not have Cuneiform in the Paleolithic age.

Use of Cuneiform overlapped the period of the end of the Neolithic age (4500 BC to 2000 BC depending on location) and the beginning of the Bronze age.