The rather more idiomatic English translation, "I don't have any brothers.", should also be acceptable.
How would "I do not have any bothers" translate?
For myself, I'd say "Cha'n eil bràithrean idir agam", I think. However, I'm rusty and shaky, so an habitual speaker's input is welcome.
Would that not be, "Chan eil bràithrean agam idir."?