It may be a larger leap than you realize. I will reiterate what Mi Rose said - the men coming forward to the deaconate program are vetted thoroughly.
A point to consider: it appears this may have been part of the reluctance of the US bishops to even institute the permanent deaconate program in the US. Originally, they decided to not institute it at all; it was only at the urging (I have heard it as at the insistence of) Pope Paul VI that they finally started. ** As of 1975, there were 898 permanent deacons. As of 41 years later, there were 18,173. **
Given the bishops’ reluctance to even ordain one, I personally would not presume that the bishops today would agree to accept any permanent deacons who requested consideration. I have no idea if there are any issues in place in Canon law or otherwise, which also might be a consideration.
According to news sources, Pope Francis has suggested that the Church consider oradining married men; as I read it, it sounded as if it might be a limited number. Even considering it is going to take some time (in spite of the fact that we have married priests, primarily from Anglican/Episcopalian, Methodist and Lutheran backgrounds) as I have heard untold numbers of clergy respond to the issue as if it were a matter of celibacy being done away with. In short, it will not go down gently.
Couple the issue of ordaining married men to the priesthood with the reluctance to ordain them to the permanent deaconate as well as the vetting that this is not a step to the eventual ordaining married me to priesthood, and there appears to be more barrier than most realize.
I don’t have a dog in the fight. I am simply looking at what is in existence today, and what its history has been. Could it happen? The Holy Spirit moves as it will, and I would not say “impossible”. But there is little to support that it would happen, other than guessing.