No it isn't. In fact, out-of-the-box reCaptcha is not GDPR compliant, and using it on your site will open you up to possible liability. See https://complianz.io/google-recaptcha-and-the-gdpr-a-possibl...

My reCaptcha strategy is to fire off an email to the site owners every time I am subjected to a reCaptcha, asking for all my data under GDPR. Most websites only need a few such requests to quickly start looking for an alternative. Fuck Google and their constant attacks on my rights.