.
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Maybe No. I hitched a ride (yes, in Istanbul!) and was stopped by a policeman along the way on a random checkpoint, they asked for my passport, I simply said it?s in the hotel, he smiled and let us go.
BUT, don't bet on that, it may be a case-to-case or fate-to-fate basis and depends on the current political situation, best bet... bring a photocopy of your passport if you aren't comfortable bringing it everytime you go out.

