Hello JBlum, Yes, most stove top elements, including those with the thermo sensors, are replaceable. Without the model number, I can't steer you towards the exact part number, but you can look it up yourself at
www.searspartsdirect.com
Just enter in the full model number of your GE range and it will bring up all the line drawings and parts lists for it. You can either order the parts from Sears, or use any other supplier you wish.
Just remember to disconnect the range from the wall outlet before you undertake any repairs or attempt to replace any parts, so you'll be safe.
Hope you find this Very Helpful and best regards!