Yes, I would bet the majority of non-OEM wheels for the 4Runner will take different lug nuts, and likely also a different size socket. OEM lug nuts on my 4Runner are 21mm and my aftermarket wheels take a 19mm nut.
Pick up some thin walled protector sockets and keep them in your 4Runner - you never know when someone else isn't as prepared.
I like the long reach ones so I don't have to fiddle with extensions when using a breaker bar.
Schwaben long-reach protecta socket kit/
Yeah, Amazon is about $6.00 more expensive for that kit than many other online sites.
YMMV