Unlikely, because while hard drives use magnetic storage (where a few magnetic domains may still point in the direction of the previous magnetization, SSDs store bits in discrete logic gates - meaning that even if there is a trace, the chip would need to be disassembled and the gates examined with an electron microscope one-at-a-time. Furthermore, it's less likely that data can survive a single rewrite, given the mechanism used (instead of bytes being changed in-place, whole blocks are erased completely and then re-written - which means the erasing is less delicate because it doesn't need to avoid flipping neighboring bits).