The expansion of the universe is not measured in units of speed, so it cannot really be compared to c in the first place. Saying that it is faster than the speed of light is “comparing apples and oranges”.
The expansion of the universe is currently about 70 (km/s)/Mpc. It was much larger in the inflationary epoch, but would still have the same units. So even then it does not make sense to compare the inflation rate to the speed of light. There is always a distance where the expansion between two points separated by that distance is less than c.
In contrast, the speed of light is an actual speed. Even on a local scale a light wave travels at c. This is important because in GR only local speeds are physically meaningful. Speeds of things that are not colocated are not even well defined in a curved spacetime.
The speed of a light wave is local, and therefore meaningful, and is c. The expansion of the universe is not a speed and cannot be converted into a local speed other than 0, so it is not meaningful and therefore cannot meaningfully be compared to c.
Now, you asked specifically about superluminal travel. In curved spacetime it is possible for there to be multiple paths through spacetime and for one of them to be shorter than the other such that matter (always traveling slower than light locally) taking the short path can arrive before light taking the long path. These can be arranged into a type of superluminal travel, and are often called wormholes or warp drives. Wormholes and warp drives are permissible according to general relativity, but they require matter with negative energy density. No such matter has ever been found and there is no reason to suppose it exists.