I'd need some kind of frame 'cos the trees along outside the fence would only give one end to tie to.
Found this method of hanging a hammock on 'Hammock Forums' .
Using an A frame and one tree, looks good, speaking as a none hammock owner ...yet .
http://www.hammockforums.net/gallery/showimage.php?i=5210&c=3
ATB,
Pete.