I'm guessing not.
This may have been answered but I can't seem to find it.
The features I keep reading list the PS4 Remote Play as "over Wi-Fi access points in a local area network." Now does this mean WAN or just my house's LAN? Am I able to play a game on my PS4 using Vita while sitting at a coffee shop or does it just allow me to keep playing while I have to take a dump and move from the couch to the throne?