IF the bodily fluids have dried ... No.
If there's blood, semen or fluids involved and the other person actually HAD HIV/AIDS, then yes. That's how the virus is transmitted.
"There have been several studies that have looked at how long HIV survives in a dead body. In -bodies, HIV generally survives up to 24-36 hours after death. However in refrigerated bodies, the survival time of HIV is significantly increased. In one study, in bodies that were stored at 6 degrees Celsius (42.8 degrees Fahrenheit), HIV was still viable for up to 6 days. In another study, bodies refrigerated at 2 degrees Celsius (35.6 degrees Fahrenheit) were found to have infectious HIV for up to 16.5 days." If you have sex with a dead body that still has the living virus, then yes, you can get AIDS.