* Settling time, in general no (only for 2nd order).
* Oscillations, in general no.
From bode plots for open-loop systems you can determine the stability, phase margin and gain margin see
You can also determine the modulus margin by using the sensitivity function) of the system which is $1/(1 + L(s))$ with $L(s) = G(s)*C(s)$, $G(s)$ the plant, $C(s)$ the controller