Is it really possible to completely anonymize an online purchase? Like others have said, the sheer act of buying something online which must be shipped somewher

Is it really possible to completely anonymize an online purchase? Like others have said, the sheer act of buying something online which must be shipped somewhere is going to leave some trace. Unless both money and phone are transferred via a special courier (preferably in one those suitcases that you handcuff to yourself), a dedicated surveillance effort would be able to discover the customer's identity eventually. I'm sure you guys are well-intentioned, but, honestly, if I was paranoid enough to need one of these, I sure as heck wouldn't be comfortable buying it online. I'd probably just buy a cheap pre-paid cellphone from a corner store using cash.