Just a guess:
You aare 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>"
PS
As @mosvy said, first as answer and then as comment, you can pass the enviromentenvironment with the call of chroot:
INPUTRC=/path/to/inputrc chroot <jail> bash