Yes, go ahead and do that.
You should input any
deductions you have into your federal return, and any of these that are also
valid for your state return will populate on your state return. (You'll still have the option to take the
standard deduction on your federal return after you've input these deductions,
if that's what you want.)
Then, go through
your state tax program from the beginning. Look for a screen that asks which
deduction you want to take. The exact placement of this screen varies by state,
but most likely you'll find it at the beginning of the interview or right
before the deductions section.