No, you can't switch. "Ohne" is a preposition that means "without". "Keine" is a combination of "nicht" and "eine"; it doesn't work exactly the same way in English, but the closest equivalent is "no". So it's wrong in English in a similar way:
One can go to a party without a present. (correct)
One can go to a party no present. (wrong)
Same for the other sentence.