I think the answer is no.
Looking at the bus timetable for Nice Gare Routiere to Villefranche No. 81 :
And looking at your hotel location at: 44 Rue Pastorelli, 06000 Nice
it is clear that your hotel is 500 metres north west of the bus station and the Villefranche bus goes in the "wrong" direction.
It is worth looking this up on Google Maps.
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