No.. AAT is a very junior certification - there is no legal definition of an accountant but AAT is something like grade 12.... whereas some of the other professional qualifications are equivalent to Masters like ICAEW, ICAS, CIMA, ACCA etc.
The current list of RSB's is as below:
Association of Authorised Public Accountants (AAPA)
Association of Chartered Certified Accountants (ACCA)
Chartered Accountants Ireland (CAI)
Institute of Chartered Accountants in England and Wales (ICAEW)
Institute of Chartered Accountants of Scotland (ICAS)
https://www.frc.org.uk/Our-Work/Audit-a ... -RQBs.aspx