Is there a way to store items?

EDIT

For the sake of updating my answer, the ability to store items was added in patch v1.07.

Adds a stash for player convenience. Players can now store loot in their stash, access to which is available in different parts of the world. Stash locations are marked on the map.

You can easily find these stash that have a green chest symbol easily spotted on the map. Something like this:

The Saddlebags are also important though :D

OLD VERSION

No you cannot.

So far there is no way of storing your items like you did in The Witcher 2: Assassins of Kings. Maybe CD Projekt RED will include it in an Enhanced Version or in a future Patch.

Basically to increase your limit of weight carrying you should buy SaddleBags

If you want to know about saddlebags there is already a question about this here.

I can't find the article now, but in it the author claimed that simply dropping items on the ground would save them there for the remainder of the game. He suggested finding a nice spot close to a fast travel sign and use that as a loot chest. He said he hadn't lost an item yet.

Edit: there's also a couple of no weight mods out already :) if you're on PC..

(ps4 not sure for other systems) I've tried the dropping method and tested it by traveling to other cities and back. Stuff was still all there. Also turning the system off and back on , stuff was still there.