Having looked up the Carrington Event, it was the largest solar storm directed at earth that has ever been recorded. But while telegraph systems seem to have been affected (really long wires) and the 1989 event impacted the power grid in Canada, neither of them are reported as having impacted people wearing gold or silver jewelry, or pocket watches, or…
I think you should be safe enough… I have no actual proof but I suspect that an event that will damage the chip is not likely to do you any good either.