Can anyone have tuberculosis without experiencing cough very often?

Yes, absolutely..: Cough is one of the main symptoms of pulmomary tuberculosis (85-90% of case) along with poor apetite/fatigue, wt loss, and night sweat etc..But depending the location and severity of involvement, cough may not be severe at all. Tuberculosis can be non-pulmoary(10-15%)--in the abdomen, kidney/adrenal glands, brain, bones, neck, limbs, genital urinary tract, and even skin etc..Consult doc. Good luck.

Depends on location: Only respiratory tract TB that is active causes cough.