I just got an eevee egg that I want to hatch so badly I have a magmar but idk if it'll improve the status because it doesn't show on stats it has flame body ability.
You will just have to wait a while, because abilities weren't introduced until Gen III, so you gotta wait. I don't know what Dr. Dude was thinking about :P
No, you will need Flame Body on Magmar if you want the egg to hatch faster. Or you can get a Pokemon with the Magma Armor ability which works also.
Source: Experience