Is a missile deflected by a Monk/Rogue’s Deflect Missiles eligible for Sneak Attack?

Is the ranged attack resulting from a monk/rogue’s Deflect Missiles eligible to add sneak attack damage? For example, if the creature who made the initial ranged attack is engaged in melee as per the rules of Sneak Attack, or if the Monk/Rogue were to somehow have advantage on the roll, for example by way of a spent inspiration point.

I haven’t come across anything that seems to openly rule it out, but the idea of throwing somebody’s crossbow bolt back at them and doing 1d8 +3d6 damage (at Monk 14/ Rogue 6) seems a little broken to me.