Yes, it's possible to recover from a Google penalty, but it can be a challenging process. The first step is to identify the type of penalty (manual or algorithmic) and its cause. Then, you need to address the issues, whether it's removing low-quality backlinks, improving content quality, or fixing technical problems. Once you've made the necessary changes, you can submit a reconsideration request (for manual penalties) or wait for Google to recrawl your site (for algorithmic penalties).