Step 1 :Substitute x = 2 into the function \(f(x) = x^{4} - 2x^{3} + 2x^{2} - 7x - 6\):
Step 2 :\(f(2) = 2^{4} - 2(2)^{3} + 2(2)^{2} - 7(2) - 6\)
Step 3 :\(f(2) = 16 - 16 + 8 - 14 - 6\)
Step 4 :\(f(2) = -12\)
Step 5 :Since \(f(2) \neq 0\), 2 is not a zero of the function.
Step 6 :\(\boxed{\text{No}}\)