Is it possible?

YES !!!! TAKE FOR EXAMPLE- THE ELECTRIC POTENTIAL DUE TO ELECTRIC DIPOLE AT ANY POINT ON ITS PERPENDICULAR BISECTOR IS ZERO WHILE ELECTRIC FIELD INTENSITY IS NOT ZERO

Yes it can. If we examine the simple 1-Dimensional case:

$E = -\frac{dV}{dx}, E \neq 0$ ;

the solution is the linear function $V(x) = -Ex + V_{0}$ , where $V_{0}$ is a constant of integration. The electrostatic potential reaches zero at the point $x = \frac{V_{0}}{E}$ .