No not really unless you take it off and then you may as well replace it or if there's a bonafide receipt for the work.
They are very well known to throw the belt and lunch the engine which it'll mean scrap heap time for that car.
If you want a reliable motor change it now including the water pump and tensioner.
If you want to risk it then leave it but the risk is total destruction, possibly being stuck somewhere you need to be towed from.