Amazon.com has a URL redirector that spits out quite a few 301's (can't remember if it also does 302, 307 or 308.) For example: https://www.amazon.com/OPFTEST2 sends a 301 redirect to https://www.amazon.com/gp/product/0452285186/ref=pd_sbs_14_t...

HAProxy, nginx and even Apache2 itself can somewhat easily rewrite the FQDN in an incoming URL. But you'll need a bunch of machines to do it. The definition of "bunch" depends on how much traffic you have and where it's coming from.

So... very much possible, but it will cost some money.