Yes, it is completely possible to make fantastic homemade ice cream without any special equipment, and since you picked up cream on sale at No Frills, you are already halfway there!
To do this without a machine, the most popular method is using whipped cream and sweetened condensed milk. You simply whip two cups of heavy whipping cream until stiff peaks form, gently fold in a can of sweetened condensed milk along with any flavors you like, and freeze it in a loaf pan for about six hours.