Not by a long-shot. I'm something of a fan of the genre, and I think that most of the stories in this collection are mediocre, at best. And there's so much to choose from in this realm - I'm not sure what the editor was thinking. For starters, consider Heinlein's short story _By His Bootstraps_, or his novel _The Door Into Summer_. For lighter-hearted, more emotional fare, try any of Finney's time travel stories, several of which are the collection _About Time_. And if you want a real roller-coaster of a story, try John Varley's _Millennium_ which, in addition to being the best (IMHO) time travel novel ever written, has the rather unusual trait of having the name of each chapter borrowed from a classic science fiction time travel short story. So the book, in addition to being a great romp through time, is also a pretty good bibliography of the genre. A much better place to start than this disappointing collection.
CAUTION: Do NOT, under any circumstances, view the *movie* of Millennium. How someone could ruin that good a book boggles the mind. Those responsible for that screenplay should be ashamed of themselves.