Not after 14 days.
http://www.apple.com/legal/sales_policies/retail_us.html - Returns in the USA (check for your own country as some countries have different return periods): "For any undamaged product, simply return it with its included accessories and packaging along with the original receipt (or gift receipt) within 14 days of the date you receive the product, and we’ll exchange it or offer a refund based upon the original payment method."
You could try this:
Trade-Up program - https://www.apple.com/iphone/trade-up/ - "Just trade in your eligible smartphone, and then use the credit to lower the full cost of a new iPhone or to reduce the monthly payments with your carrier." Not available in all countries.