It is possible to traverse to any given square.
Source: MTRP 2015 Class 11-Short Answer Type Question: Problem 3 :-
September 22, 2020
combinatoricsChessboard
Problem Statement
Show that, in a chessboard, it is possible to traverse to any given square from another given square using a knight. (A knight can move in a chessboard by going two steps in one direction and one step in a perpendicular direction as shown in the given figure)