Maybe, but it is not how it is supposed to be working, so you are on your own. It is off-map situation, because datasheet does does not provide the data. A lot of things to consider, like input capacitance, how fast does it regulate, will it overshoot, etc.
PWM is very well suited for inductive loads. It is also good for resistive loads. But for loads which are fully or partly capacitive it is kind of (for the lack of better word) pornographic. First, you get huge current spikes at turn on. Also, every time this capacitance is charged up, there is 50% energy loss associated with that charging. These losses might be significant. Second, if capacitance is large or frequency is high it is not anymore a duty cycle control. It becomes more like voltage control, a lousy PWM to voltage converter.
If the linear regulator needs some input capacitance (for stability), then it is already one problem. Also other things might be a problem, like regulation, because PWM will effectively create huge input voltage transients.