It will be a waste even if it can.
My guess it it will convert to SATA inferface & tops 550 mbytes/sec.
So its pointless.
there is no way such old laptop posess NVME PCIe tech which was developped much later.
I wish it could because I have 3 UX31A & 1 UX32 laptops.
Btw my question is similar:
Would it a new NVME SSD work with UX31A or UX32 with adapters? It was said that it might not be supported by MB Bios.
(UX32 uses a standard SATA SSD 7mm tall)