Baking – Is it possible to bake a cake without an oven

Too much to go into here, but let me refer you to Harold McGee's less well known book, The Curious Cook: More Kitchen Science and Lore, where he has an entire chapter devoted to this topic, complete with tables for a whole bunch of fruits.

To clarify: forced-air (a/k/a "convection", a/k/a "fan bake") ovens rely on a fan to circulate the air in the oven. The fast-moving air substantially enhances the rate at which heat is transferred to the food. It is particularly good where you want the surface to brown, such as roasts and breads; it is not as good for more delicate items, such as custards and cakes, which can set too quickly or get dried out. For cookies, it depends on what effect you want, but many standard types do well in forced-air ovens because the fan helps ensure that the whole oven stays at a uniform temperature despite the presence of several trays. (Of course, the tray closest to the heating element will still cook faster than the one farthest away, so you will still have to swap them partway through.)

The general rule for using the fan is to set the oven temperature 25 degrees F (15 C) lower than what the recipe calls for using in a regular oven. Even then, don't go strictly by cooking time, as ovens vary; rather, be sure to check on your food regularly to see how fast it is cooking. You may need to cover your food to prevent over-browning, or perhaps adjust the oven temperature.