No, felony murder is when someone is killed by someone else during a violent crime in which the defendant was a participant
This is not entirely correct under Georgia Law. The requirement for a felony murder is that the person charged with Felony Murder was partaking in an "inherently dangerous felony" at the time of the Homicide. The person themselves does not have to be the killer, correct, but even if the person themselves committed the Homicide, then if there was no "malicious forethought" in the Homicide then it is classed as a Felony Murder.
You wait outside in the getaway car when your partner does the robbery, you're grabbing the money when your partner shoots the clerk, etc. A criminal can even be charged with felony murder if his partner is killed by a victim defending himself during a crime. The reason that some people have reservations about it is that the defendant didn't directly cause the death or necessarily intend it.
https://www.justia.com/criminal/offenses/homicide/felony-murder/
This is only part of the situation. You need to make sure that you are looking at Georgia Law, and not a generalised version. Not all States have the same laws.
In this case one could argue that Greg M. didn't intend to kill Arbery, but he actively participated in the crimes that resulted in his death.
Which under Georgia Law means that as a participant he shares in all crimes committed by any other participants. Since Travis was also committing a felony at the point of the homicide, Travis committed Felony Murder (under Georgia Statutes) and all those participating are enjoined to that crime, thus themselves are guilty of Felony Murder as well.
Classic forum "logic". Take one statement out of context, make up the absolute worst possible thing that could be meant by it. Invent an argument around it.
In those cases, those are all just plain murder. No felony murder statute required.
Under Georgia Law the Murder provision of the Homicide Laws requires that the killer acted with "Malicious forethought." In other words that the killing was deliberate and premeditated. Homicides during crimes rarely are such and so would not fall under the provision for Murder. Instead they fall under the Felony Murder clause in which a person commits murder if they are committing an "inherently dangerous felony" at the time, i.e. one in which death is a foreseeable outcome.
Georgia is a bit different in the way it does Felony Murder as it does not have a independent Felony Murder statute, but rather has it as part of its murder statute. Under Georgia Code Title 16. Crimes and Offenses § 16-2-20 "Every person concerned in the commission of a crime is a party thereto and may be charged with and convicted of commission of the crime."
Since this means that if you are party to the crime, then you can be charged with the crime, even if you didn't actually do it yourself. In the same way that if you are the get away driver you can be charged with the robbery even though you didn't enter the bank, you can be charged with any Homicide that occurs as a result of that robbery.
So yes it's the same result, just coming at it from a slightly different angle, and it does mean that they don't really have an individual Felony Murder statute, but rather a Felony Murder clause within their Murder statute.