Dual power supply using Arduino uno and nano
No, because both 5V terminals are +5V.

If both boards are powered by completely isolated power supplies then you could connect the +5V of one to GND on the other. One will then have all its signals and logic negative to your ground level, but normal compared to its own ground level. Managing it though and keeping things separate (no shared ground between two sets of peripherals, etc), would be tricky. And the moment you plug one into your computer the whole lot could go up in smoke.