Could a variable be hit by a shock and be observed at the same time?

Dear All,
I just have a question when formulating a DSGE model in Dynare. Could a state variable be hit by a shock (associated with a shock) and be observed (associated with an observable variable) at the same time?
Thank you!
Best regards,
Jesse

I am not sure I understand the question. Yes, you can have state variables as observables. But by them being states, they cannot be affected by shocks in the same period. But of course they can be affected by shocks in previous periods.