The hand squeezed “nut-cracker” type three wheel knurling tools will work by being rotated around a stationary workpiece.
Eventually!
Out of curiosity I tried mine running round and round on a piece of aluminium. Got there in the end but took a while. I suspect for stainless steel you’d need very sharp knurls and some sort of screw clamping system to get enough pressure. However its highly likely that the stainless will work harden on you mid job, not good.
My nut-cracker tool, this crew is a depth control not a forcer :-

Instructions for making a replica were published in Model Engineer issue dated 29 January 1999.
A bigger, stronger version was published in Popular Mechanics May 1965 issue. That one has a force screw.
This link to the article still works :-
https://books.google.co.uk/books?id=buQDAAAAMBAJ&q=knurl#v=onepage&q=knurl&f=true
If you do decide to make such a tool and discover its not man enough for the job, probably 50/50 chance, a nut-cracker knurled is still very handy for casual jobs as it needs no setting up. I reckon my knurling jobs split about half and half between the nut-cracker and the (superb) Marlco device.
Not quite a putting on tool but when your light press fit comes out as stiff sliding fit ……..
Clive