I don't think that would be possible in any DAW, as it goes against the general idea of sidechaining to begin with. Sidechaining uses a designated sound to, with the help of compresser settings, determine how much it will duck the target. Seems kind of redundant to me, perhaps you should try an LFO instead?
EDIT: An Up-Ramp/Saw LFO assigned to the Volume would give you some control over your duck & rise, without using any other sound. However, it's application is limited to whatever rate/sync rate your LFO is capable of, so it's not a very trustworthy technique if you want it do following along with some crazy ass rhythm unless you can get clever with multiple settings or automations. Probably best for straight forward stuff.