No, it does not make sense - but not for the reason you think.
It has been proven that all the 'diet' cold drinks actually make you fatter than the normal non-diet cold drinks.
Anyway, why would you want to destroy the pleasure of eating a tasty meal by drinking any kind of soda? They are all poisonous and if you do not believe me, look around on google - for instance, "coke and health".
Far better a fruit juice; a passion fruit or mango would be my preference.
PS: How do you fit that meal in your mouth? Maybe you could start with your girlfriend at the other end...and you meet each other in the middle?
RE: Diet Pepsi