Is there a way to adapt a TSSOP pad to a SOIC-16 IC?
The fastest way to deal with this is to "Dead Bug" your IC.  Find a clear place on your board to glue the chip to it, leads up in the air (hence "dead bug"). Solder 32AWG wire wrap wire to the pins, and to the appropriate pads.  It will take some practice and patience.

Obviously, if you're doing more than a few, redoing the board is the better approach.