If 100% of your work time is in FL (not even 1 day in NY), you may not be subject to NY tax.
Reference: page 6 at this long thread. https://ttlc.intuit.com/community/state-taxes/discussion/re-i-work-for-a-ny-company-remotely-from-nc...
But, the bottom line is whether your employer withholds NY state tax. If they do, you may have a hard time getting a refund from the NY Dept of Taxation and Finance
