A web interface has already been developed (not by the core team, but by another NXT user who liked FreeMarket). They still need an SSL certificate, but here's the address:
https://freemarketlite.comThat might work well on a phone browser, I am looking forward to trying that out

I could be wrong but I think the web interface was developed by the core team. That NXT user just made his node publicly available so anyone can connect to it over the internet via the standard web interface (and I believe it's overloaded right now).