Much of the short fiction I write is experimental in some manner, many of them were written for classes such as yours.
Sometimes I set rules to what I write such as every chapter must have the listed elements (which change each chapter) and remain in plot/character etc.
My story series "It Was A..." introduced the main character in the first installment, then the rest of the installments were written WITH OUT him at all, although his actions influenced each other chapter directly. Sort of a Where's Waldo in literary form.
I have written in first person, second person, third person.... Omni, limited, and strict... past, present, and future... and while these things seem "normal" for one writer to deal with all of them is... not common.
Experimenting with your craft is how you develop it.