To an extent, but the airline interior layout is constrained by the fuselage diameter. The A320 is somewhere between 6" and 12" wider in usable interior diameter. For a similar layout (3 and 3), you can have marginally wider seats in the Airbus, or slight more aisle space, or a bit of both. And, in theory, the larger fuselage also allows a bit more overhead space.

Newer planes also tend to have better environmental controls (air pressure, lighting, etc).