Did the creators of the Matrix(Architect and Oracle) "created" Trinity for Neo to choose the way to humanity?

You know,when Neo is talking with the Architect he is told about Trinity,that she is in the Matrix right now...If Neo wouldn't be in love with Trinity,would he choose the same way as the previous "Ones"?Would he just walk away to reboot the Matrix?(Remember that this would be the 6th iteration of the Matrix if Neo would have chosen that.)