Can there be "partial" confessions and "partial" absolutions in Catholic spiritual life?

Let's imagine a gay man which tries to be a good Catholic and who is trying to develop all the virtues except for 6th Commandment virtues that are related to his fate. And even then - he tries to adhere to the 6th Commandment as much as it possible, e.g. by committing to loving and monogamous relationships. We can also assume that he has read some theological articles which suggest discernment and care for his situation (there are some in the Catholic academic journal which I will not link here, because they can be offending and divisive for the general audience and which is just theology in the development, no surprises). My question is - can this man go to the confession and acknoweldge all the sins and be ready to do penance for all of them, except that he is not giving promise not to sin again in the matters of 6th Commandment. Can priest give at least a partial absolution to his man and nurture at least all the other spheres of his spiritual growth? Of course, partial absolution may be not much worth - i.e. - it still won't allow to participate in the Communion. But - from the other side - this can be step in the right direction and least partial holiness can be achieved. And the Salvator will take care of the remaining. What can the attitudes of priest can be? Of course, this man will have long life in parish and he will go to the Confession each month and again and again the priest will have to listen that there is part that is not being corrected and improved stubbornly and the absolution can not be given again. But still - maybe that is possible?