No, while it's not theoretically impossible, it's practically impossible, and atop that, there is almost zero reason to do so. SATA SSDs are far cheaper than NVMe ones, and far more common. You'd effectively need an AHCI controller that somehow controls the NVMe controller, and I just don't think anyone's done that nor will do that.
You can absolutely go the other way around though, and they do sell SATA controllers that fit on NVMe M.2 cards, but that might not be of any use to you.