Yes - It's really the soundhole that makes the difference. Many builders like Gilchrist say there is no difference in the tone between their A style mandolins and their F style body shapes. It's the soundhole. An A shaped mandolin can be found with either an oval hole or an F style soundhole. Same with an F style mandolin. So you have four basic choices:

"A" body - oval soundhole
"A" body - F shaped soundholes
"F" body - oval soundhole
"F" body - F shaped soundholes

There are others but probably 95 percent of the mandolins made fall into one of these four catigories.