Can I extend my ESC to motor using some thick wire? is it possible to do in that way
Extend wires on motor side. That side is expected to deal with voltage spikes due to the high inductance of the motor windings so some extra wire inductance from longer wires isn't a big deal. Not so on the battery side.

DO NOT CUT THE MOTOR WIRES to add on connectors. Those wire strands are directly from the motor windings and are coated in enamel which is tough to remove. Cut the wires on the ESC instead.