No.
All solutions require jailbreaking and that requires hardware modding on the fw5.6.x devices.
If you are interested in trying, there is a sticky and several other related threads which discuss administering the jailkreak over the serial port. Steady hands and an ability to follow directions
very closely is a must.
Then simply install KUAL+LibrarianSync on your Kindle, and Kindle Collections plugin in calibre.
Note: Kindlian and KDeasy don't work for a reason -- they rely on stealing the community work done here. And we haven't found a closed-Kindle jailbreak (yet).
Note2: Our hacks are modular -- one jailbreak, a standard "extensions" layout which applications launchers can plug into, and things build off those. So if you can get the jailbreak installed (or preserved during a PW upgrade) things will generally Just Work. Other hacks sometimes aren't as community-minded, so if you cannot install their proprietary jailbreak keys through the only method they support, nothing can be done.
All our hacks still work if you use "Super-Advanced Mode" to install the jailbreak.