Primarily because organics are not designed nor intended to have mechanical components integrated into their systems. Additionally, I doubt that Splat will have the intellect to appropriately utilize a jet pack.

If you can develop a jetpack that can be applied externally with no internal components, and which you control remotely, then it would be feasible.

[He probably should not have given Whirl any more ideas.]

[Perceptor frowns.]

Well, of course? [He tilts his head inquiringly.] I am not attempting to advocate removing Splat. [Especially not if Alpha Trion is behind this.] Merely enumerate potential challenges you will encounter.