You mean someone not with "bad breath"/halitosis in the classic sense, but still with a distinct breath odour?
Sure. There are all kinds of things which can cause the breath to have an odour, from food to medication to disease.
Someone who's ingested alcohol will have an EtOH (ethanol) odour to the breath. Some medications will leave traces on the breath as, somewhat along the same lines, will some poisons. Diabetics may have a "fruity" breath, or one which smells like acetone (think nail-polish remover). Someone with acid reflux problems may carry the smell of gastric acid (tummy juices) on the breath. Antihistamines can do it, as can some anti-depressants. People with kidney disease man have an ammoniac odour to the breath, or it may smell like urine -- or piss, if you will.
Lung diseases, such as TB, can leave a distinct smell on the breath. If you ever have to deal with someone who's knee-walking drunk who has a rampant case of tuberculosis, you're unlikely to forget the smell. It could repel a warthog.
I had a three year old patient once who drank part of a bottle of Campho-phenique, who certainly had a distinct odour to his breath ... not to mention his multiple farts and stools. Likewise, a woman in her late 50s who's downed a quart or so of Clorox will broadcast the fact far and wide, not to mention being able to fry your nose-hairs. On the other hand, I've known hundreds of little babies whose breath smelled like milk, to one degree or another.