Yep, but if running more heavily modularized kernels, the modules must be installed separately. But in that case: "nbd"-mode to the rescue :-) You can simply mount the root partition in that mode - from USB downloader mode on the K3.
It all gets a bit more difficult, since kernels on the Kindle typically have a initramfs for early boot initialization - and this is within the uImage, but it might contain kernel modules. I think the original kernel carries a few modules there (3G and/or eink?).
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