Yes, and there's a properly close one. Dulux Dusted Cappuccino (LRV 54.3) lands at just ΔE 1.2 from Elephant's Breath — that's so close the average eye won't tell them apart on a wall. Anything under ΔE 1 is officially imperceptible, and under 2.5 is very close, so you're well inside the safe zone here.
If you fancy something with a slightly more modern, breathable feel, COAT Sunday Soul (LRV 55.3) sits at ΔE 1.6 — also a very strong match, and COAT's emulsion is low-VOC and self-priming, which is handy if you're after a quick turnaround. Both Dusted Cappuccino and Sunday Soul are marginally lighter than the original (Elephant's Breath itself is a touch deeper), but the colour character is the same warm greige with that signature mauve-grey undertone that makes Elephant's Breath shift through the day.
I'd steer you away from Crown Mid Stone for this particular job. At ΔE 3 and LRV 48.2 it's noticeably darker and not really in the same family — it reads more solidly stony than that soft, pinky-grey thing Elephant's Breath does. It's a decent colour, just not a dupe.
The "but what about" here is finish and depth of pigment. F&B's Estate Emulsion has a famously chalky, flat, light-eating quality that the cheaper paints don't fully replicate — you're partly paying for that. If the matte, dead-flat look matters in your room, test it. But if you want the colour at a fraction of the price for a busy hallway or rental, Dusted Cappuccino will do the business.
Grab tester pots of both Dusted Cappuccino and Sunday Soul, paint a decent A2 patch on the wall it's actually going on, and check it morning and evening. This colour swings warm to cool depending on light, so the room decides.