Posted: 11/12/2013 at 22:27
Not if it's the biennial kind. The aim of any plant is to reproduce itself. Annuals grow, flower, set seed and die in one year. Biennials do it over 2 years. Perennials can last anything from 3 to many years and will usually flower form their second year on.
Some foxgloves are perennial but are short lived and tend to last only 3 or 4 years but they set seed and self sow quite liberally so, as the original response said, keep an eye out for seedlings next spring and transplant them to where you want them to grow.