Technically it's possible.
There are lots of ways a dedicated rigger/decker can help his group remotely. But there are some difficulties.
For example, both archetypes face Noise. At some table you might simply get you character 10+ datajacks and essentially ignore noise. You can also circumvent the Noise problem somewhat by establishing a direct connection through hosts, but that doesn't work in every situation.
Deckers might be impaired without being able to use a cable to set up a direct connection. That is a problem, although you might build your character around that. Technomancers at many tables can't do it anyway, but they manage to hack somehow =))
Your biggest problem is that on some runs your character will be needed on site. For example, some Hosts allow access only from specified locations. Your GM might work with you on that, but you can't safely bet on that.
So yeah, technically it's possible, although there are serious problems involved.
But please do consider this: SR5 Matrix was in part developed the way it is to make deckers go on the run with the rest of the group. You can make a character who always works remotely, but be advised that the system itself will oppose this. Some GMs will oppose it.
I strongly advise against trying to stay remote 100% of the time. Maybe you could try making it a preferred method of operation, but be ready to get out there under the rain.
P.S.
I'm not sure "invalid" is a nice choise of words... You meant people with disabilities, right?