No, you should relieve the pressure and exit the water out for two reasons; one, to prevent the spray line from premature expansion and two, it helps prevent "smelly" bacteria created by stagnant water sitting in the line.
Solution: After you are done using your system, turn the switch to off and depress the trigger to release all the water and pressure from the hose. (Fun Tip: Open the top of your tank lid and depress the sprayer directly back into the tank to rid the hose of its pressured water) Now re-wrap the hose and attach the hose holder