4x4 Parity

Yes — this swaps the two opposite edge pairs on the last layer (UF↔UB and UR↔UL) without affecting corners. After this, your cube will have a solvable 3×3 PLL.

A simplified way to view the algorithm is that it disturbs the pieces, flips the parity of the inner mechanism, and then restores the pieces. 4x4 parity

2R2 U2 2R2 U2 2R2 U2