CAN ANY BASS PLAY IN C STANDARD TUNING?

I'd simply put the BEAD strings of a light 5 string set tuned a half step up and set up accordingly. Should work.

 

The nut needs to be able to accommodate the bigger string diameters. If that's the case, then I don't see why not.
Some basses might be a bit floppy (especially shorter scales) and need a higher setup, but it should not not work.

 

My suggestion too. I have drop-C tuning so I cannot suggest other strigs according to personal experience but E string tuned to low C is best with 125, feels like 105 in low E. I use D'addario XL strings - feel may vary depending on the manufacturer and model.

 

Yes I’d just suggest heavier strings & a proper setup.
For Drop C I like these D'Addario XL Nickel Wound Bass String Set Long Scale - 4-Str

I think they’d work great for C Standard as well.

 

Some Basses do not even require nut modification if you don’t go with an insanely large string. Sounding good in C standard is more about the string and setup than the bass itself. So yes, any bass can do C standard.

DR DDT strings in their 55-115 gauge will hold C standard quite nicely. They won’t be bridge cable tight, but C doesn’t have to be super tight to sound good.