There absolutely is, but it doesn't go beyond the meaning of the words, as would be the case in the meaning of an idiom.
In baseball, it's called "covering all the bases." You know how lawyers are! I expect a certain amount of trial and error (pun intended) has gone into the formulation of these standard expressions.
I can imagine a young new lawyer like yourself writing a contract like the one you propose, only to have it overturned by a wise old experienced lawyer who knows the English language well. If there are loopholes, they need to be closed.
Regards, - A.
Edit. Hey, I just noticed! WELCOME TO THE FORUMS ! !
Sorry if I came across as facetious. Do you truly believe than in all cases and circumstances "made by A and B" means the same as "entered into by A and B"? Or that "This agreement made by A and B" means the same as "This agreement made among A and B"? Etc. Etc. Or that any one of these is the same as "is between A and B"?