Yes, you most certainly can, in fact it is mostly an automatic process.
Buy yourself a new kindle fire: http://amzn.to/2iAJac4
Just make sure to purchase it from your current amazon account.
When you receive your replacement kindle, once it is registered and connected to wifi, all of your existing books/purchases will sync to the new kindle, so you won’t lose any of the content you’ve previously purchased.
All your book titless will show in the CLOUD library on the new one, and each time you select a title, it will then fully download into the new kindle for storage on the fire itself.
If you have any other questions, just let me know. Otherwise, please take a moment to rate my service as this is the only way I am credited for my time. Hopefully I have earned 5 Stars but if not please let me know what I can do to ensure you are satisfied. I also invite you to contact me directly with any future support needs at http://bit.ly/1QwLxGh and ask for Nathan.
Thank you, ***** ***** a nice day,