Mindy, you are the second person to ask that question today. Finches stop feeding when they feel threatened by a predator. Could be a bird, a cat or just the perception of danger. Moving the feeder for a time usually stimulates them to feed again. Best and Happy Yardening, Nancy
Some finches migrate and others do not. Check the website of Wildbirds Unlimited for more information on these and other birds that inhabit your area. Best and Happy Yardening, Nancy.