How can the last command’s wall time be put in the Bash prompt?

This is minimal stand-alone code to achieve what you want:

function timer_start {
  timer=${timer:-$SECONDS}
}

function timer_stop {
  timer_show=$(($SECONDS - $timer))
  unset timer
}

trap 'timer_start' DEBUG
PROMPT_COMMAND=timer_stop

PS1='[last: ${timer_show}s][\w]$ '