I think that 14.1 is the same about jump cues as 1P. Sure someone on here will verify if it's a rule or just a tradition.
Yes, the official rules of One-Pocket posted on OnePocket.org prohibit jumping with anything but a standard playing cue. So special jump cues are not allowed.
The CueSports International rules for 14.1 also prohibit jumping with anything but the playing cue.
But under WPA (world-standardized) rules the equipment specs for 14.1 are the same as for 8-Ball, 9-Ball, or 10-Ball -- the cue must be at least 40 inches long, at most 25 ounces in weight, and with a tip that is at most 14 mm in width and will not damage an object ball. So many special jump cues
are allowed.
For any particular event, the governing body or person(s) may be using rules that differ in one or more ways from CSI or WPA rules.