Yes, there has been.

As [this infographic](https://en.wikipedia.org/wiki/File:Map_of_gene_flow_in_and_out_of_Beringia.jpg) shows, there has been a back-migration of the DNA haplogroups C1a and A2a from North America (well, Beringia...) back into Asia.

[![enter image description here][1]][1]

The infographic is sourced as *Tamm E, Kivisild T, Reidla M, Metspalu M, Smith DG, et al. (2007) Beringian Standstill and Spread of Native American Founders. PLoS ONE 2(9): e829. [doi:10.1371/journal.pone.0000829](https://doi.org/10.1371/journal.pone.0000829).*

Other (later) back-migrations might exist; I understood that your question would be answered with one "yes" already and stopped searching at this point. 


  [1]: https://i.sstatic.net/Ebd27.jpg