Yes, but they aren't as quick as just stip-mining, and they're also more dangerous, and damaging to your armour.
Cubfan135 is know for his mass amounts of Ancient Debris on Hermitcraft, and he made a video testing all the best ways of finding it. There is another method he didn't try; Withers. I once spawned a wither at Y:15 in the nether, got him down to about half and jut let him follow me, blowing stuff up on the way. Not very affective, I got board after a while and killed it. Oh and also it has a high chance of death.