It is possible to make working minute repeater replicas but its a question of price...we are talking about a replica that would cost $600-$1000 provided that the movement would be available and cheap enough
Some replicas have SEA-GULL movements and...SEA-GULL make prestigious watch complications, including: perpetual calendar, quarter repeater, minute repeater, moon phase and retrograde dates.
ST90 – Hand-winding quarter-repeater.
ST91 – Hand-winding minute-repeater.
The SEA-GULL ST91 minute repeater have entered production
Sea-Gull Minute Repeater Ref. ST9100G in 18 carat gold, limited edition, gold Breguet style hands on a silvered dial, raised Roman numerals and raised small seconds at 4.30 position, Domed sapphire crystal, stitched brown alligator strap, water resistant to 30 metres, crystal see-through back. Expect to pay about 45,000 euros.
older SEA-GULL ST90 quarter repeater