Yes, since 2015.
I wrote 'bearer shares' and the support of a middle proxy in between you (real owner) and the bank (rest of the world).
If you are the average US citizen, its not a good idea to try and hide, but only to use the SPV legitimately to minimize taxation in recognized legal jurisdictions. Of course, large entities/corporations have access︀ to a larger pool of 'options'.
If you are not US, things are significantly reduced︁ on you being monitored, if you follow certain steps and develop a multi-layered company structure︂ (SPV to create other SPVs), but not usable by your average folks.
Other than the︃ above, there is this:
1. You have a third party to sign you a full︄ power of attorney to represent that third party, only for the purpose of establishing a︅ company and to open a bank account. The duration of the full power of attorney︆ could be for one year. Regular or as agreed non-symmetric payments for the third party︇ as 'salary' or 'consultation services' with meetings minutes documents actually written/hand-signed for any 'compliance'.
2. You hire the legal support of a well reputable Attorney company, and sign a limited︈ power of attorney for your Attorney to only establish a company and to open a︉ bank account - SPV.
3. Having your Attorney's created SPV, you open a second SPV︊ having as beneficial owner (with significant influence) the first SPV. This can be structured with︋ a multi-layered company model (several SPVs in cascade, for higher anonymity).
4. Bank accounts could︌ be from Luxembourg, Monaco, Switzerland.