No, it seems unlikely.
A very popular scam on craigslist, (although it beats me who would be stupid enough to fall for it) is for the scammer to find, on craigslist, a property for sale, copy and paste the information into a 'for rent' listing, at some obscenely low price. (first clue)
When contacted by the scammee, they send some poorly written (2nd clue) letter explaining that they are out of town doing God's Work (3rd Clue) in some nook & cranny of the world, but would like to rent to the scammee, since its obvious from the scammees short and terse email, that the scammee is a and Worthy of being rented this property at half or less of its market value.
At this point, the scammee is asked to provide his name, address, social security number, blood type, bank account number, what really happened that night at summer camp, the boarding pass for great grandma's trip on the Mayflower, etc.
If the scammee is actually silly enough to provide this information, then the next step will be to ask for an amount of money to be sent to them, via their Good Work, in small, unmarked bills, or, failing that, a cashiers check, certified funds, or, god help you, if you're dumb enough, a bank transfer.
So, good luck with your rental. I suggest you avoid craigslist to look for a rental. It has been ruined, except as a compromised provider of data. Until they insist on some kind of verification of identity, it will just get worse. Often my listed properties have been used in this scam, and there doesn't seem to be anyone in commerce, government, or internationally who either enforces to control or stop these kind of scams. And like the Nigeria Finance Scheme, this will apparently always be with us.
Remember: If it sounds too good to be true, it probably is.