Yes you can use your spreader, please see the setting needed for our different lawn spreaders:
Scotts EvenGreen Drop Spreader - Setting 14
Scotts EasyGreen Rotary Spreader - Setting 30
EverGreen Easy Spreader + - Setting 9 and 2 applications
Please note that grass seed needs the ground temperature to be consistently above 5° in order for it to germinate and the risk of frost to have passed.