Without you, I connect, and create purpose.
But if you add five we can go golfing!
As I grow older without you, I have to hunt for my dinner.
But this, the one I am, is the only of its kind.
The answer is a single word.
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Sign up to join this community(Partial answer) I think you are
Four
Without you, I connect, and create purpose.
Remove the letter U and get "for", which is a conjunction that indicates a goal or purpose.
But if you add five we can go golfing!
"For" + "e" (the 5th letter in the English alphabet) = "fore". The expression "Fore!" may be shouted during golf, to warn bystanders of fast-moving golf balls.
As I grow older without you, I have to hunt for my dinner.
"For" + "age" = "Forage". Foraging means hunting or searching for food.
But this, the one I am, is the only of its kind.
(Credit to @BusinessCat) "Four" has 4 letters. It is the only integer with a value equal to the number of letters in its name.