I’ve done it.
That was using adapters I built myself, which not only have to change the connector gender but the pin-out is completely different and requires reversing phase. You also have to stick to balanced (4-wire) headphones, otherwise the unit will just shutdown … there’s no driving anything single-ended, or converting to TRS, possible here.
It worked fine, with reasonable headphone pairings (i.e. good sensitivity/efficiency), but you’re limited to about 5V RMS output and 780mW at 32 ohms/83mW at 300 ohms, so there’s not a ton of headroom left for more demanding cans.
It wouldn’t be something I wanted to do with higher-end cans as anything more than a very short-term stop-gap. The LCD-4 would be in the realm of cans I would not want to use this way.
You’re much better off adding a Jotunheim 2 for your conventional headphones.