Yes ! If you add your website link to an awareness campaign, and someone clicks on it, they’ll be taken directly to your website.
Even though the awareness objective is mainly focused on reach and impressions (not clicks or conversions), your link is still fully clickable. Meta (or any ad platform) won’t block or change the destination — they'll just optimize the delivery differently (for people likely to view, not necessarily click).
Quick heads-up:
You can include your website link in the primary text, headline, or as a CTA button (like “Learn More”).
If you want more traffic or clicks, though, you might be better off with the Traffic or Engagement objective — those are optimized for getting people to take action, not just see your ad.
