Very much possible:
Register your kindle if you haven't done so.
Go to readability.com and register. Then give your kindle's email id and set it to send a digest every day at some set time (I use 7am).
Now go to ifttt.com, register and use this recipe:
https://ifttt.com/recipes/77
You're done! Everyday at your set time you will receive a magazine containing all the posts!