Yes, the manufacturer's own biodistribution studies showed that it was detectable in the spleen, kidneys, ovaries, testicles, and bone marrow etc until at least 48h after. At the end of the study, some markers were still increasing but they didn't bother to find out when it peaked and declined.

Note that this is in complete opposition to the original claims during the vaccine campaign that the vaccine stayed local in the arm.

https://youtu.be/fVNFFtmb9gA