Can I change my standard thermostat to a Wifi one?
Since you're using a line voltage thermostat, there should be no problems doing what you want. 

Most folks run into trouble switching to a WiFi thermostat, when the power from the thermostat is supplied through a transformer in the furnace/boiler. Since this is a line voltage thermostat, both ungrounded (hot), and grounded (neutral) conductors should be present at the thermostat.