Will a greedy newborn puppy develop food aggression as it grows older?

Basically what the title says. The puppy we chose is suddenly growing much bigger than her littermates, she's only a week and a half old but she's literally pushing other puppies out of the way in order to get more milk. I don't mind a big and greedy girl as long as everyone is getting fed, but does this indicate she might develop food aggression? Has she developed it already?? The only positive I can take away from it is that she'll definitely be food motivated for training.

Does anyone have any experience with this issue? She's a pitbull mix for reference if this is a common problem with the breed, and I'd like to nip this in the bud when she's a puppy if it's something to worry about, because we have children in the house. Thank you if you can help.