Can I transfer messages from iPhone to iPhone?

I had an iPhone 4 and i had an issue with it so they just send me a new, same exact iPhone 4. How can I transfer my text messages from my old iPhone to my new one?

Just backup on itunes, then when you reload from old it copies everything.

Yes, you can. You may try this phone to phone transfer, it can help you transfer files between iPhones. You just need to connect your two phones to computer through USB cables, then you can drag and drop the message between the two phones. This software worked fairly well for me. Hope it helps. Contact me if you have any other question.