I've done this on short distance (under 10m), shooting around a tree and hitting the target behind it. I used underspined crappy fibreglass arrows with plastic vanes and pushed them in towards the bow so that they were bent/deflected an inch or so upon release. (I also torqued the bow string but I'm not sure it's necessary, I did it it mostly because it felt cool)
The arrow then snaked widely and therefore curved around the tree.
Lars Andersen also shows this (on short distance) in this video: https://youtu.be/M-bI3n_rSBg, not sure excactly how he does it, but it's also a short distance so I'm guessing underspined arrows, not overly fletched, and intentional bad release?
I've had some arrows (fletched) fly a slightly horisontally curved path on distances around 15-20m, but not on purpose. Unfletched arrows (when bareshaft tuning) can take a really steep turn after 15-20m.
So I'm thinking curving arrows at slightly longer distances should be possible.