Can i use tobramycin eye drops if i am allergic to penicillin, augmentin, bacterium, doxy, sulfa antibiotics?

Tobramycin is usually safe for individuals who experienced an allergic reaction to other antibiotics.

the answer is yes, but I would see and opthalmologist for a diagnosis

Tobramycin is in a different family of antibiotics than those mentioned, so technically, an allergy to those does not predict an allergy to tobramycin. HOWEVER, the more true allergies a person has to antibiotics, the more likely it is that a person will be allergic to other antibiotics in general. So an allergy to tobramycin is still possible, but it is impossible to predict before using it.