Maybe?
I've never tried this, but it might give you what you are trying to get.
Boot the 2.6.15 kernel, let it fail, then throw in a Live CD (knoppix comes to mind). Then, once it's booted up, mount up your root partition and chroot in:
mount /mnt/hda1
chroot /mnt/hda1
Assuming /dev/hda1 is your normal root
Then run:
dmesg
And see what you get.
Your other options are to examine the /var/logs to see if any of them have info on why it's failing. Usually, why it failed is (a kernel panic is *usually* because the filesystem support wasn't added or /etc/fstab is not correct if devices change or something) more important than what dmesg is going to tell you. Try to write down what the error is when it actually fails to load.
Cool