As a Kansas notary, can I take a person’s acknowledgment in another state, then return to Kansas and complete the notarial certificate here?

No. Your authority extends no further than the geographic boundaries of Kansas. you cannot perform one part of a notarial act outside the state and the other part inside the state. Both parts must be executed at the same time and the same place inside Kansas. If the resident of another state cannot come to Kansas, he should find a notary public in his state.