Can you veneer 1/64" plywood?

I don't think it would curl when heat was removed, but the glue would still be hot at that point and with nothing clamping it, I'd opt for clamps and good ole fashioned wood glue. How thick is the veneer you want to apply to the 1/64" plywood. I don't think that the lamination would be subject to curling due to the face that the plywood you want to use as a substrate is already a series of veneers. I'd just make sure your moisture contents were low and similar with both the veneer and the 1/64" plywood before gluing them together.

It will be regular ol' commercial veneer, i.e. thin as all get out.

if you are inlaying into another piece of wood just glue the plywood/veneer in and put clamping pressure from a caul on top. doing a panel with a full overlay of veneer you should do both sides. the absorbtion rate of moisture will be different on each side if you don't and it will wolly bear. rule of thumb …..whatever you do to one side on a panel, do the same to the other. i did color practice pieces on thin veneer boards with dyes and shellac only on one side…..they all turned into a U shape.

1/64" ply? Most veneer is 1/42" thick. So, that ply would be thinner than veneer.