Per sites contributions from a correlation test

Hello,

I have two numeric vectors in R and used cor.test function with them.
Is it possible in R to know how much contributed a particular row of the
vectors to the total correlation value and significance?
Of course I just could take out that row from the vectors and run the test
again to see how the results vary but I wonder if that is the right way to
do it.
Thanks for your time.
Regards,

---sram