Gear FIT smartwatch topic

Hi guys, i dont know if i post this at the right place but maybe you can still help me out.
i googled this question but i cant find the right answer..

here is the thing, i dont take my note 4 with me to the gym (becouse it can easily fall out of my pocket while doing my workouts)
i usualy keep in in my car, i guess my car is parked + - 20 meters away from where i do my workouts.
will the gear fit connect to my phone if i dont keep the phone with me ?