if electrical conductivity near room temperature is dominated by say thermally activated carrier hopping, then is it possible to measure Hall coefficient near room temperature ?
I hope you are dealing with amorphous semiconductors where hopping conductivity is quite likely. In such a case the current flowing at low voltages may be quite small so you will get very small hall voltage which is quite difficult to measure in air. You have to keep your sample in a metallic enclosure for electromagnetic shielding and also create vacuum to get rid of stray voltages. The sign of Hall voltage may be opposite in case of hopping conduction as observed in hydrogenated amorphous silicon in special condition. In conclusion, Hall voltage should be observed if current is flowing whatever may be the conduction process in semiconductors having electronic conduction.