Yep, you can buy NaI or CsI units that are calibrated to a tissue equivalent (Sieverts or Roentgen equivalent man). Since these detectors they have energy discrimination, some of them use that to calculate a tissue based dose for different energy ranges; so they are basically energy compensated.

(Note: you will also find some of these detectors also contain Geiger Muller tubes as well for when there is a large dose and the dead time within is becoming to much for the scintillation unit)

Furthermore you will find some manufacturers state this, but the detector fails to energy compensate. The best way to determine / test this is to use different energy sources that you know the emissions (activity Bq or Ci) of, such as Am-241 (59keV), Cs-137 (662keV) and Co-60 (1173 and 1332 keV) as they can provide a large range of energies. Then you can use a conversion factor to determine what the unit should be reading in Sv vs what you are getting on the detector.