No, you cannot earn travel rewards for joining Citi Easy Deals. However, if you reach Plus Tier, the highest Citi Easy Deals level, you'll have access to travel deals. Travel deals include discounted hotel stays and flights.
To qualify for Plus Tier on Citi Easy Deals, you need to be a Citi Easy Deals member and spend $500 in one year with the Citi Simplicity Card or the Citi Diamond Preferred Card.