Answer :

Yes. It is true that every story are built around a conflict

LREH

A story is the telling of an event, either true or fictional in such a way that the listener experiences or learns something just by the fact he heard the story.

A story is a means of transferring information, experience, attitude or point of view. Every story has   a teller and a listener.

when you say a good story you mean an engaging story there is no way to write it without some kind of obstacles that stand between the protagonist and his goal. If there is no obstacles means no story.

For these reasons before mentioned the answer is TRUE.