At all means; in any way. You can put this phrase at the beginning of the sentence to get its meaning more clearly.
At all you are given one, that should make you happy.
You are correct as far as the meaning is concerned: 'at all' means (depending on context) 'in any way' or 'to any degree'.
The sentence that you cite is, however, not possible. 'At all' cannot be placed at the head of a sentence, except as part of a larger (and, semantically, quite unrelated) phrase such as 'At all costs,...'.
Does the phrase work in this sentence. Are you given one at all to try your luck?
No, I don't know what you are trying to say. Here are some possibilities:
Are you giving your all to try your luck?
"your all" means "everything you've got", but generally in a sense of effort: You lost the race. You didn't give it your all.
A: Are giving anything at all to the charity?
B: Yes but I can only afford $2.
A: Did he give you a red one?
A: Did he give you a green one?
B: No, he didn't give me any one at all.