Probably not, as heather is generally a deer-resistant plant.
The experts at New Jersey Agricultural Experiment Station, who have studied deer resistance of garden plants and consulted other experts, have compiled a rating system that divides plants into four categories from 'Rarely Damaged' to 'Frequently Severely Damaged'. All heaths are rated in the first group as 'Rarely Damaged', which means that usually they are ignored by deer but may be eaten in winter when other food is scarce.