High end networking gear already has higher throughput:
http://www.mellanox.com/page/ethernet_cards_overview
https://www.servethehome.com/mellanox-connectx-6-brings-200g...
A SAN/NAS using the same PCIe 4.0 SSD's you mention could probably fill the pipes too.
... and it would probably need a bunch of network stack tuning. ;)