Can we get direct admission into FMS Delhi?

Direct admission would not be possible if you mean skipping the entrance exam and the GDPI Extempore process entirely. Unless you somehow manage to rig the CAT, get the paper leaked before the test, solve it completely, mark everything correctly, get a shortlist from FMS, know who the panelists are, and successfully coerce them into giving you a final admit, you will have to go through the usual drill. 

In short, you must work hard, perform well on the CAT, and prepare for the GDPI Extempore process. There are no shortcuts.