On the contrary, the low pressure moving in will get an animal on the feed. Most animals detect falling barometers which associate bad weather on the way. Deer sense the barometer falling and will be seen feeding before a storm before they bed down for shelter. When the weather man predicts a good storm coming your way, especially a snow storm, the best time to be in the woods is the day up until a few hoursbefore it actually occurs.
Kind of reminds me of the phenomenon when people flock to the store before a storm for bread and milk