Happy Saturday !
There are many places that will rent month to month,if you are staying only 4 months you could tell the owner/property management company that you would be willing to put up a large security deposit .You should be able to find a few places,good luck !
One last thought, be very careful you deal with legitimate landlord and owners. Scams are persistent all over this site and many others. As much as possible deal with the other party in person and confirm their status as owner or licensed agent or property manager. Under NO circumstances should you send money overseas to someone who claims to be doing charity work and promises to mail you keys back. This would be a very expensive lesson.
Potentially you can. Each landlord or property manager elects what terms they are willing to accept. Leases shorter than a year can be harder to find, and when you do they may come at a higher monthly rate than a 1 year lease would go for.
One way of offsetting the need of credit may be to pay the full lease up front. Discuss this with the property manager or owner to see if that may work for you.