No, of course not. It's not like "the first presence of any symptoms" somehow zaps everyone in the vicinity or who wanders by with ebola.
From what we have seen in US cases, the first symptom is the fever.
But the only way to get Ebola is to have someone vomit on you, bleed on you, share spit with you, have sex with you or get fecal matter on you when they have a high viral load, and do so in a way where it gets into your blood. That's based on data going back to 1975 from outbreaks in the Congo, Uganda, Sudan, Gabon, Ivory Coast, South Africa, not to mention current experience in the United States, Spain and other nations.
Plus, is there even a high enough viral load (yet) at that first sign to transmit the disease? From what we've seen so far with these cases being played out where we can observe the process, it sure doesn't look like it.
Dead bodies are highly infectious. They don't vomit on you, bleed on you, share spit with you, or have sex with you. All you have to do is touch them.