Yes—use an adjustment layer and build the vignette in its layer mask.

A LUT or Curves adjustment can carry the tonal/color change, while the mask controls where that change appears. To mimic a bright-centre vignette:

1. Add an adjustment layer such as Curves.
2. Make the adjustment brighten the image as needed.
3. Edit the adjustment layer’s mask so the effect is strongest in the centre and falls off toward the edges. A soft radial gradient on the mask works well.
4. If needed, duplicate or add another adjustment layer for stronger brightening and copy/invert the mask as required.

This gives you a centre-brightening vignette using adjustment layers instead of a Gradient Fill layer.

One important caveat: the vignette itself is a spatial effect. LUTs are mainly for color/tone remapping and don’t inherently describe image-position-based effects. In Photoshop, the look can be created with an adjustment layer plus mask, but the mask-based vignette is separate from the LUT’s color mapping itself.