Yes it is possible. It is not uncommon for an LLC to have a managing member that owns a nominal interest of 1% while the remainder of the LLC units are owned by limited members that do not have management authority or actively participate in the operations of the company. If the LLC member is authorized under the LLC operating agreement to manage the affairs of the company, then they should be able to open a business account on behalf of the LLC. The bank may request a copy of the LLC operating agreement to verify that you have the authority to act on behalf of the company.