As someone in the second month of healing a broken wrist from a corded drill, I'm going to finally buy a cordless one. My old Milwaukee Magnum Hole Sooter caught the bit when it broke through the piece of metal i was drilling and twisted my wrist so bad it broke one of my wrist bones!
Many modern (better) cordless drills are probably powerful enough to do the same - but are
VERY expensive, if you want performance approaching that of a decent corded drill. Cheap low power ones are cheap, and low power, the clue is in the description
We've got a fairly nice DeWalt small cordless drill (about £100) at work, I use it a LOT,
but it's relatively useless if you want to drill holes in walls - far too puny, and hammer is useless for drilling walls. For drilling walls you want an SDS drill.
However, the DeWalt is great for what I mainly use it for (drilling holes in boards, cases, etc.) where my Bosch 850W corded drill would be FAR to big and clumsy - and while it's only an old hammer drill, it's not 'too' bad on walls, but SDS is a
LOT better.
An old friend of mine, who used to do aerials/dishesfor us, had (amongst many!) a Bosch 36V cordless SDS drill, and we were on the same job once and I couldn't drill the wall over the fireplace at all (using a cheaper modern mains Bosch hammer drill). He lent me his cordless SDS, and it went in like a hot knife through butter - but it was about £600.
Following that I bought a cheap (about £60) SDS mains drill for work, and that was excellent as well.