TP5000 Charger Module with an ESP8266

I would like to power an ESP8266 from a LiFePO4 3.2v Battery, and have found this charging module the TP5000 for charging the battery....

TP5000 Charger Module

ESP8266

My question is, would i be able to have this wired to my ESP8266 while charging? Say just extra leads coming of the battery connections of the TP5000 directly to my project?

Thanks