When changing a PGP passphrase, does it only affect the same key on the other machine?

If I change the password of my PGP key (I use it to sign Git commit) on Computer A, does it affect the same PGP key that I have on the Computer B? Will I still be able to use the PGP key on Computer B with the old passphrase?
http://dlvr.it/S1KDY2