No. Samsung uses Tizen OS. The versioning system is completely different (e.g., YouTube for Tizen is usually version 2.x or 3.x). You cannot install Android APKs on Tizen.
Open YouTube on your Smart TV. Navigate to the left sidebar (via the d-pad) and scroll all the way down to Settings (usually the gear icon). Then scroll to About or Help . The version number will be listed there. Smart Tv Youtube 6.17 391 Download Latest