It looks as if the other side of the hub is threaded for screwing on a freewheel.
(Pics of upside-down bike are disorienting me.)
Attach single speed freewheel and flip the wheel/hub. If the cog size is the same, tension should be ok with current chain.
Lots of info:
Singlespeed Bicycle Conversions
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Bacchetta Giro A20, RANS V-Rex, RANS Screamer