Stream text by WiFi

I am making an Arduino balancing mobile robot. I now have balance data from the robot coming over a serial cable to my PC, but the cable is a problem as the robot gets more mobile.

I have a Sparkfun ESP8266 "Thing" which can be an Access Point web server which delivers short HTML strings on request. Is it feasible to have the ESP8266 take the serial data from the robot Arduino and stream it to my PC via WiFi without be queried? Is there a better way to do this. I like to keep the WiFi communication CPU separate from the robot balancing CPU.

I guess it is possible. You can use ajax on the web page to periodically asks for update from the server.