Not in my understanding. I have some coins X that are tainted. I send them to you, Y. You, Y, happen to have other coins completely unrelated to the address I sent my X coins to, and you send them to me at address Z. There's no blockchain link between X and Z.
I suppose physically tracking you down, assuming you keep logs, could hurt me, but if I trust you not to keep logs then I'm safe after you delete the logs.