Yes. AdaptiBar offers a database of 1,742 licensed MBE questions from the NCBE, including all four OPEs!
In Practice Exams mode, you can take the NCBE Online Practice Exams (also known as the OPEs) 1, 2, 3 and 4. All four exams consist of 100-questions each from the years 2006, 2009, 2011 and 2013. These are also the same exams that are available on the NCBE website.
Please note: These exams DO NOT include Civil Procedure or the changes to Real Property.