Yes.

Basically, there are 3 possibilities:-
a. she and her parents had been alone since ZA started. They had never met bad people in the past 2 years.
b. she and her parents were part of a good group for a while. Then, they were attacked (and might even be captured) by a bad group but they escaped and were on the road for some time again before her parents got killed.
c. while she was alone for the 2 weeks before coming upon Alexandria, she ran into some bad people.

If it is a, then her trust of people should still be there. But her hesitation of approaching ASZ seems to indicate otherwise.

c is less likely than b. b is just similar to ASZ. Maybe this is why she ran away right when the Wolves attacked ASZ because this reminded her of that bad experience.

 

Katelyn Nacon was interviewed in The Talking Dead and she was asked by the host how long Enid was on her own and she said ''a week or two''.