Sure you can. We used to do it all the time in the old days :)
Here are some ideas if you don't have an ice cream maker.
2 quarts cream, 1 pound sugar; flavor with vanilla. Let stand in freezer five minutes to become thoroughly cold. To make it extra light, beat the whites of 2 eggs to a stiff froth, and add just before the cream is frozen. This should freeze in twenty minutes, and will make one gallon of cream.
6 bananas, 3 peaches, 3 lemons, 1 quart sugar, 1 quart boiling water. Pour hot water over the sugar and lemon juice, and stir until it is dissolved. When cool add peaches and bananas sliced thin, and let stand two hours; then strain through fine sieve, so nothing is left but liquid. Then freeze.
Cut in small pieces stale sponge cake or lady fingers, a few macaroons, some French cherries and apricots (glace), and mix all together. Make a custard of 1 quart milk and 6 eggs, and when cooked, reserve 1 cupful for a sauce, and add to the remainder 1/4 ounce of gelatine. Put the mixture of cake and fruit in an ice cream mold and strain the custard over it, and place it in the freezer, as you would ice cream.
Sauce.—Add to the cup of custard reserved 1/2 pint of whipped cream, and vanilla to taste.