Can A friend of mine break his apt lease cause of the tenant below him not reporting to the management about the plumbing backing up into his toilet and bathtub on the second floor due to his heart condition and the infestation of roaches and the A/C unit is controlled by the management of the entire property and he has complained on several occasions about the heat in his apt and the roaches and twice that I know of for sure about the plumbing and the refrigerator hasn't worked properly since he has moved in which he has complained to the management on 4 occasions

He may be able to break his lease IF he goes about it properly. He needs to document the issues that make the unit uninhabitable. He needs to then contact the landlord and inform him if the conditions are not fixed within a set time frame that he will consider the lease in breach.