Can we determine the exact spin of an electron(i.e. clockwise or anti-clockwise)??
No, we cannot determine the exact spin of an electron because we cant really isolate or separate an electron to study it. We can only study its effects.
Each orbital can have 2 electrons. If we talk about the p shell, it has three orbitals, Px, Py and Pz. Each of these orbitals contain two electrons making 6 electrons in p shell. Among these two electrons, one spins in clockwise direction whereas another one spins in anti clockwise direction.
But we cannot determine the exact spin so in theory...