Is there a way to bind completion menu navigation to anything other than arrow keys?

[rkshthrmsh]

Hello! By default, navigation in the completion menu is bound to the arrow keys. I was wondering if this can be changed to something like:
left: ^H
right: ^L
up: ^K
down: ^J

[yutkat]

bindkey -M menuselect '^H' vi-backward-char
bindkey -M menuselect '^K' vi-up-line-or-history
bindkey -M menuselect '^L' vi-forward-char
bindkey -M menuselect '^J' vi-down-line-or-history