I have a song in 3/4 time, with several measures that require 4 different chords within.....one measure......
First chord 1.5 time (dotted quarter note)
Second chord .5 time (eighth note)
Third chord .75 time (dotted eighth note)
Fourth chord .25 time (sixteenth note)
What Charlie and Jim said, but to your question.
In 3/4 time (based on using a waltz-type style; that doesn't mean the song is a waltz, just that BIAB calls 3/4 songs waltz-style), you can only enter 3 chords per measure. You can then push any of those three chords either an sixteenth note or an eighth note only to the left (not to the right). You can also push the first beat/chord of the following bar into the previous bar, but then you can't do anything in that bar until the second beat.
So, if you enter your first chord on the first beat, since it's a dotted quarter, then you go past the 2nd beat to the last half of that beat, which means you can't use a chord on beat two, since you can only push to the left. So at that point, the best you can do is push the chord on beat 3 to play on beat 2.5 (which is where your second chord it. Since you've already used the chord on beat three for the push, you now longer have it available to play the third chord (which starts on beat three), and you can't push the chord from the next bar to the third beat of the previous bar; you can only push it an 8th.
So, yes that's a long-winded way of saying you can't do what you are trying to do. The answer is unfortunately, NO.