Can my future employer disclose where I will be working to my current job.?

[vic_lopez1023]

My current office manager is very nosy and pushy. I submitted my resignation over a month ago and gave her plenty of time to get someone else. I even had to say that I was moving so they would stop pestering me. Well I have decided on not moving now and I have landed an offer to work for a great company in my area but I am afraid that the new employer will tell my current where the job is and then the continued pestering will continue...Do new employers usually disclose this info....
I don't want them pressuring me to stay when they find out that I will not be moving...