Not really. All those phrases imply that the recipient should take action (except for "what goes around comes around"). "Today you, tomorrow me" means "Today I helped you, tomorrow I might need your help, so you don't need to repay me", but not exactly in a "what goes around comes around" way (it doesn't imply certainty or karma).

Basically, the equivalent is probably "it could have been me in your place", I guess.