Are you sure? Most markets do not. They get their cakes outsourced and they decorate them in house. I could be wrong but the only way to know is call and ask they flavors they offer or maybe it is on their websites?
No those are standard flavors and they don't stray from that list. Independent grocery stores that are not major chains may have more flavor options. If you want inexpensive and delicious but very basic, go that route. But your best bet is a local bakery that specializes in wedding cakes.
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Google says differently and yes the decorate in house but that is different than baking -- doubt the cakes are from scratch. Maybe each location is different. Either way here is your answer:
Unfortunately (and no hate on market cakes as they are yummy) they are not custom bakeries in regards to special flavors. Best to go with a local cake baker for more special flavors. Depends on your area but some are affordable. Or you could get a special cake for you and your fh and then a market sheet cake for the guests.
I used to get custom flavor cakes from Safeway all the time. We've gotten pistachio and mocha. They can also do filled cakes which I adore, my favorite being fresh strawberries and cream. Not the canned goopy ones but like fresh fruit. I would call your local one and ask which ones they can do.