Negative.
If you had Basic + Anonymous enabled, Basic would take priority, and Anonymous would never be used if they failed Basic... understand?
"An important restriction that you should be aware of when enabling different authentication methods is that you can’t enable both a challenge-based and a logon redirection–based authentication method at the same time. In other words, you can’t enable forms authentication (which is redirection-based) while basic, digest, or Windows authentication (which are challenge-based) is also enabled."
http://windowsitpro.com/systems-management/understanding-iis-70-authentication <-- Good read http://www.iis.net/configreference/system.webserver/security/authentication#005