Yes, of course -- anyone who lived in Europe in antiquity, which spans a very long period of time.
Why you think the concept doesn't make sense is anyone's guess.
There were peoples who migrated a great deal, not settling permanently in one place, for centuries, and of course, national boundaries and even regional names didn't exist for many millennia. The peoples of ancient Europe would have identified themselves by various tribal names now lost to history. We can call them "ancient Italians" or "ancient Britons" or "ancient Germans," but until relatively recently in human history, they would not have used those names themselves.
And what if we want to refer to ALL the people of ancient Europe collectively?
Scholars use the term "European Early Modern Humans" (or just EEMH) to mean very ancient Europeans -- people who lived as long ago as 37,000 years. They would certainly tell you that those people were "ancient Europeans".