Two step authentications

Hello!
Is it possible to make the authentication switch between two devices?
what do I mean?
I use forums on both - phone and computer. On phone it is... harder a bit to go for the authentication code and if I have slower internet there by the time I log back to warmane's tab new code is sent... And so it repeats again and again.
As far as I understand auth code is sent when other (not the previous) device logs in the profile, but is there a way to increase this to 2 devices?