Technically, yes- but absolutely not advisable. The liner wraps around the edges and is glued to the pinchweld and is also somewhat held in place by the rubber windshield gaskets. Theoretically you could install the headliner, the rear would remain tight with the listing wires, the front would have to be held tight with additional listing wires to the forward header, then tuck the headliner into the gasket around the front and rear windows. That said, can it be done- yes; would it look good/correct- no. Best to take the windows out and do it the right way- or do a 1 piece like Blake mentioned.
Working on old cars teaches us patience... and every curse word imaginable!