It might be Ok; someone should check my bolt thrust calculation to see. You are not going to blow up the barrel, but the action must react the force of the case head on the breach. If we ignore the contribution of friction of the case sidewalls in the chamber, then bolt thrust is case head area times the pressure. Using area as Pi R squared the ratio of the case head areas are 32x32/22x22 or 2.1. The .22 WRM does not produce twice the pressure.
That says .22 WRM should be fine. Actually looking at SAAMI data, the .22LR and the .22 WRM have the same max pressure. The .22 WRM has only a tiny bit larger head diameter. The .22 WRM's performance improvement does not come from higher pressures it comes from greater case volume and slower powders.
Tim