A day trip to the Statue of Liberty from a JFK airport hotel is possible, but it will require some planning and travel time. Here are some steps you can take:

1. Check the schedule of the Statue Cruises ferry, which provides transportation to the Statue of Liberty and Ellis Island. You can find the schedule and ticket prices on their website.
2. Consider taking a taxi or Uber from your hotel to Battery Park, where you can catch the ferry. The trip should take about 30 minutes to an hour, depending on traffic.
3. Plan to spend at least 2-3 hours at the Statue of Liberty and Ellis Island, so make sure to factor in enough time for the ferry ride and exploring the sites.
4. If you want to skip the lines and have a more personalized experience, consider booking a guided tour. Many companies offer tours of the Statue of Liberty and Ellis Island.
5. Make sure to bring comfortable shoes, sunscreen, and a camera to capture the stunning views of the New York City skyline and the statue itself.