Well, I guess that is possible, as long as there are at least several choices the reader can select from. However, I am thinking, since the so called hypertext, under an ideal structure, it has to be "without a beginning, middle or end." If you said that it has the same beginning, as if a reflecting mode to tell the story, then there would be a same beginning, then I guess that it had broken the rule and the concept of hypertext. Right?
If you have other problems, you are welcome to checkout my website,
http://st2.fju.edu.tw/~a9120048 and click on the hypertext, and see what I mean. In mine, there are four choices, and I did not give the readers a particular beginning either. It is up to you.