Short answer is No. The SiG is designed with an overlap for safety to avoid ND's. May sound stupid, but to get a SiG to go bang, you have to cycle the trigger. When it is at rest (even with a round chambered) the hammer is not in contact with the firing pin (to avoid striking such if accidentally dropped onto the hammer). If it is dropped and the hammer does somehow move forward enough to strike the firing pin, the pin is held by a spring loaded garivity block on the firing pin to keep it in place.
Several things must fail in order for a SiG to fire "accidentally" by being dropped. When the trigger is cycled, it rotates a cam lifting the firing pin block just before the sear breaks allowing the hammer to travel forward striking the now free floating firing pin.
It's a SiG. It's a CPO (2 of mine are including my primary CCW). Shoot it, enjoy it and trust it. Take care of it and it'll never let you down.