No! At this point in time all research on West Nile Virus (WNV) indicates that the virus must be acquired via a blood infection. Data from the 1999 epidemic in New York indicates that over 100 species of birds can be infected with WNV. However, even the birds must get their infection by being fed on by a viruliferous mosquito. All 100 species of birds died from the infection. The fact that they had WNV was determined from examination of the carcasses. Infection in humans occurs when we are bitten by viruliferous mosquitoes.
Washing the fruit and cutting out the damaged portion (which you should do under any circumstances) will be adequate for safe use of the fruit.