In order to wrap the lines and not the table in org-mode
you can fill the paragraph your cursor is on (in this example using M-q) instead of choosing wrap over truncate.
Borrowing the following function from @fniessen in Paragraph filling for org-mode inside latex environment in SO
(defun leuven-good-old-fill-paragraph ()
(interactive)
(let ((fill-paragraph-function nil)
(adaptive-fill-function nil))
(fill-paragraph)))
adding this local key binding:
(define-key org-mode-map "M-q" 'leuven-good-old-fill-paragraph)
Now you can selectively wrap the paragraphs and leave out the tables.