• For hospital acquired pneumonia:

Yes, aminoglycosides can be used empirically in combination with one of the following:

Third or fourth cephalosporins, carbapenems, piperacillin/tazobactam or ceftazidime/avibactam.

Ref:

• Morrow BM, Argent AC, Jeena PM, Green RJ. Guideline for the diagnosis, prevention and treatment of paediatric ventilator-associated pneumonia. S Afr Med J. 2009 Apr;99(4 Pt 2):255-67, commentary can be found in S Afr Med J 2009 Nov;99(11):770.
• McGrath EJ, Asmar BI. Nosocomial infections and multidrug-resistant bacterial organisms in the pediatric intensive care unit. Indian J Pediatr. 2011 Feb;78(2):176-84.