The simple answer is yes!
The longer answer is that you'll need to check with your calendar app to ensure it can be shared and published. Most companies will give you a link or even HTML code to copy and paste into a website. You'll need to check the documentation for your specific calendar, though.
If you're looking for how to accomplish this with Google calendar, please see our article here.
Another popular calendar is Outlook. Follow the instructions on Microsoft's website to share and publish your calendar. Make sure you get that URL they give you once you've published the calendar!
Whichever calendar you have and publish, you'll either receive HTML code or a URL. For either one, you'll need to follow the instructions in Method 2 of this article to paste the calendar into your website.