If you have the same topology, even the vertex indexes, it is relatively easy:

You can use transfer attribute in Index mode:

The problem may occur if you have the same topology, but the indices are messed up. In this case you can try to use Transfer the vertex order add-on:

https://bartoszstyperek.gumroad.com/l/copy_verts_ids

If two meshes have different vertices positions use editmode Copy vert ID from sidebar:

First you need to select two, adjacent faces on source mesh - copy mesh id's, and then, select two similar faces on target mesh and paste IDs. Operation has to be repeated for each island (disconnected mesh parts) separately.

If you have the same topology, even the vertex indexes, it is relatively easy:

You can use transfer attribute in Index mode:

The problem may occur if you have the same topology, but the indices are messed up. In this case you can try to use Transfer the vertex order add-on:

https://bartoszstyperek.gumroad.com/l/copy_verts_ids

If two meshes have different vertices positions use editmode Copy vert ID from sidebar:

First you need to select two, adjacent faces on source mesh - copy mesh id's, and then, select two similar faces on target mesh and paste IDs. Operation has to be repeated for each island (disconnected mesh parts) separately.

i want this to happen with the control of vertex weights, can you edit your answer and add the ability to control this with vertex weights

Vertex weight is an attribute, you can use named attribute to get it: