Just a guess:
You a trying to run a Bash built-in command in a chroot like this:
chroot <PATH> bind -f <PATH_IN_CHROOT>/.inputrc && <PROGRAM_TO_RUN>
But your chroot doesn't have any interpreter running, which could understand bind. Does the following work:
chroot <PATH> bash -c "bind -f <PATH_IN_CHROOT>/.inputrc && <PROGRAM_TO_RUN>"