Possibly. Here is how you can get a good judge of the distance that you will get without pedaling. First of all, make sure the battery is either a NIMH or a lithium battery because you don't want to be buying a ready-made e-bike that uses SLA (lead-acid) because it just sucks.

Ok, find out what the battery capacity is and take that and multiply it by 2 and that's the likely distance that you will get without pedaling if the controller is a 20 amp controller. If it's a 35 amp controller, and you use it at full throttle then you'll probably only get about 1 mile per 1 AH. The 20 amp controllers give you more range because they have less acceleration and thus you get more range. You could get the same range on a 35 amp controller but you'd have to only turn the throttle about 50 %. It's just like with a gasoline car, if you floor the pedal, you'll get less gas mileage. So if it's a 36v10AH battery then you can assume to get 10AH x 2 = 20 miles range without pedaling. You may get more if you weigh like 150 lbs or something. And you'll of course, get even more if you decide to pedal a little.