It depends on a few things. How long are your dropouts or track ends? How far forward is your wheel in that dropout or track end. You can always purchase a cheap chain and have it as a back up if you don't need the new length.
Post a picture of your dropouts/track ends. It should be easy to determine from that.
You would need to see a little more than that. How far back his axle sits when the chain is tight with the current xx/16 ratio would need to be shown, not just the dropouts. And even then It would be hard to tell from a picture if it would fit or not for sure, unless there is a drastic amount of space available.