No more than it would harm parking it facing downhill. Makes no difference really. Just make very certain that you do these things when parking:
* always point the wheels away from the curb when facing uphill * always point the wheels toward the curb when facing downhill * always set the parking brake while your foot is on the brake and BEFORE putting into Park on automatic transmissions. Applying the parking brake should be done every time regardless of the terrain. If one gets into the habit of doing this all the time, then it will become automatic. The little pin in the transmission is all that is holding the car from rolling ... use the brake, too. It will help greatly when you are trying to get the transmission out of Park when on a hill if the parking brake has not been used.
Manual transmission people always use the parking brake (handbrake) anyway, so it is something we do without thinking. A good habit for everyone.
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