Would this GetChildren script work?

game.Players.PlayerAdded:connect(function(Player)

	function Leaderstats()
		Leaderstats = Instance.new("IntValue")
		Leaderstats.Parent = Player
		Leaderstats.Name = "Leaderstats"
		
		LeaderstatsChildren = Leaderstats:GetChildren()
		
		for LeaderstatsCount = 1, #LeaderstatsChildren do
			Leaderstats.Value = Leaderstats.Children
		end
	end

	function PowerLevel()
	
	end

	function Attack()
	
	end

	function Defense()
	
	end

	function Agility()
	
	end

	function Rank()
	
	end
	
	Leaderstats()
	PowerLevel()
	Attack()
	Defense()
	Agility()
	Rank()	
	
end)

No.

The leaderstats object's name should be "leaderstats" not "Leaderstats" (lowercase).

The Children of the new IntValue will be an empty list, since you just created it.

This means the for loop following it does not run. However, if it did run, Leaderstats.Children would result in an error, since an IntValue doesn't have a Children property.

You should also be careful, because the function Leaderstats is sharing a name with the IntValue Leaderstats. You should define it the IntValue variable as local to avoid this, and perhaps rename one of them (I would suggest making the IntValue variable lowercase)