nouseforaname,
No, you have to do 1 precision approach and 1 non-precision approach. Obviously the non-precision approach can be an NDB, VOR or localiser only approach, however, you can bet your bottom dollar that you will get the NDB.
With regard to the radar vectored approach, it is possible to get a procedural ILS and a radar vectored NDB, the examier can mix and match, but you will do both of the above, precision and non precision.