In Bridge what happens if a player has more points than their bidding suggests
No you won't have a recourse, at least in ACBL. (for eg see here: http://web2.acbl.org/documentLibrary/play/Convention-Chart.pdf). I expect Forget I was ever here to come up with a better answer with better references to you might want to wait for it :)

E/W are allowed to deviate from their agreement as long as there is no hidden understanding and such deviations are not too frequent (not sure how that is enforced).