slik1 - changing the status of one's carry permit is up to the local issuing judge in your county. And you would have to provide, most likely, an adequate description of the 'why and wherefore' of needing the change.
As I recall the laws, there are only two types of permits authorized by law in NYS. One is the Premises Permit, which allows you to have the handgun only in/on your premises. The other is the Carry Permit - but here, some local judges feel they can use their discretion and will decide to issue to permit for hunting and target only or concealed carry. They really do not have the discretion to do that but they may feel somewhat meglomanic here because nobody can challenge them (or so they think). We once had a judge in my county would would not allow any more than 4 handguns, no matter what. But, when we told him we had gathered together $5K and a greasy lawyer to haul his butt into state court over the matter, he relented.
Also, for some judges this is a means to screen out certain types of applicants. One of my female friends applied for a permit at my urging. Her job and hours kept her out late and often in bad areas. She was the perfect applicant, with a perfect background and applied for a permit for a Beretta 21A. She was issued a Hunting and Target permit, by the judge who also owns the same gun. The Sheriff informed her that there was no difference in the authority behind the two types of 'carry permits' and that she could carry whenever she wanted to but that she had to carry it concealed from public view so as not to cause fear and unrest. He also said that some permit holders always carry a range bag in the trunk of their car as it seems they are always either going to or coming from the range. That being said, as I understand from my attorney (a former DA) there hasn't ever been a case of someone losing their pemit for defending themselves with a Hunting and Target Permit handgun they happened to be carrying concealed while out and about.
However, some judges are about as immutable on the issue as can be and prefer to let other judges argue it out in trial court. Go figure. HTH. Mikey.