Vacuum man, Poonch never tried to perforate its stamps. Is it any wonder?
The royal family of Poonch were related to the royal family of Jammu & Kashmir, and were subject to their overall control. Jammu & Kashmir
did experiment briefly with those perforation things

around 1878, but quickly gave it away as an unnecessary refinement. These Poonch stamps appeared in 1887, so well after Big Brother Jammu & Kashmir had stopped bothering.
(After thinking about it, I see you were probably referring to the block of Kishangarh State stamps I posted on Page 1. They were also printed one at a time. They were issued perforated, and also imperforate. I don't know whether Kishangarh printed the stamps first, and then perforated them, or vice versa. I haven't seen any really dramatically badly perforated examples of these stamps, so perhaps they did the perforations first, and then stamped the stamps into the perforated squares. Anyway, an interesting question!)
But you're right: these were printed singly from a hand punch. The original die was engraved, probably on brass, by a seal cutter from Srinagar in Kashmir, named Rahat Ju. The printer of Poonch stamps also occasionally decided (for reasons of his own) to print a stamp sideways or upside down too, but unfortunately I don't have an example to show.