Of course not! 3 reasons:

Main reason-1:Only Knight moves will occur in this game and also some fascinating Rook moves like Rb8,Rb1,Ra8,Ra1 that would give much excitement to the players!

Main reason-2:With white starting with 1.Nc6 black has to respond 1...Nf3, and if white plays 2.Nb4 then black has to respond 2...Ne5. HUGE disadvantage for a game to have such forced opening lines...........And after the 3d move of white if black plays 3...Nc3 white has again a force move. And then after 4...Nb5 the game is meaningless.......... 2 even not so good players will draw every time.

Reason-3:If a player doesn't capture with its Knight any Pawn or piece of the opponent then he could not promote any piece! And if he captures a Knight he could promote only to a Knight again....

If you want to implement the game, a good idea is to add the Pawns on 6th rank for white and 3d for black. Then there are much more options and a better play........