Well that would depend on the Nagura. Not all are created equal.
Generally speaking the synthetic "nagura" stones are garbage , most are quite coarse. The Chosera ones come to mind (a 400 grit nagura stone with a 10k stone , no thank you sir). If its large enough theres no reason you cant use it as a small pocket 8k stone , although the quality will remain somewhat of a mystery until you actually get it. IMO a better alternative would be an EP or KME stone , matching the finishing grit of the knife. That way you can just touch it up with the same grit with a stone of a known quality.
Diamond films on glass could also work well here , they can take grease/oils if its a knife used for cleaning game. These are also available in EP/KME sizes from the usual suppliers.