Will anybody be in equilibrium state when it obey 2nd condition but doesn't 1st?

No, a system cannot be in equilibrium if it does not satisfy the first condition of equilibrium, which states that the net force acting on the system must be zero. While the second condition pertains to the net torque being zero, failing to meet the first condition means that there will be an unbalanced force causing acceleration or movement. Therefore, a system must satisfy both conditions to be considered in a state of equilibrium.