In general, yes. I’m a citizen of the EU, therefore I am required to calculate VAT on every purchase. There are some exceptions, though.
If you are also a citizen inside the EU, you are required to pay VAT. If you are/represent either a business/freelancer/etc. inside the EU or a citizen/business outside the EU, you will not pay VAT. When you enter a valid EU VAT ID upon checkout, the VAT will automatically be subtracted from the order amount.
Anyone outside of the EU will not be charged VAT.