The applicant, that is, the patent owner cannot be anonymous, but the inventor can check the box not to be made public, so anonymity can be achieved. If you want the applicant to be anonymous and apply in the name of someone else, then after the patent is approved later, the person with the patent rights will be someone else, not you, and you can't use it. So if you have a reason to remain anonymous, you must first make an agreement or contract before filing in someone else’s name.