Yes. The middle ages are a construct of the renaissance. No one is sure when they start or stop, and they start or stop at different times in different places anyway.

Most historians dislike the term.

The Middle Ages is named so because it's the period of European history that falls between Antiquity and Modernity.

Starting at the fall of the Roman Empire, and finishing sometime around the Renaissance and the Age of Discovery(the period when Europe began to explore the world on a large scale), the Middle Ages are essentially the 'transition' period between the ancient civilisations such as Rome and Greece, and the modern era, where individual states began to emerge.

Within this period there are further divisions - the early, high and late middle ages. These all refer to different stages of development again. The Early Middle Ages is a period when kingdoms began to emerge in Europe from what was a loosely affiliated society.

In turn, this centralisation led to the High Middle Ages where technological developments meant that the European economy grew rapidly, and as it did, political systems changed, marking a break from Antiquity.

The Late Middle Ages was a period of decay through conflict and sickness, specifically wars, religious schisms, and the Black Death. This resulted in the European population diminishing greatly, and a stagnation in the economic and intellectual growth that had marked out the High Middle Ages.

Knowing that the Middle Ages was divided as such, we can reasonably project that at some point in the future, the period named "the Middle Ages" could be feasibly extended. It follows that there would be new period divisions inserted to mark out technological advancements in medicine, transport, and science, and separating the 20th century from the earlier periods.

It's important to remember that the Middle Ages is a eurocentric term. That is to say, it's based around European cultures and development only, and doesn't encompass the civilisations of Asia, Africa or the Americas. For this reason, the same period is called the Post-Classical Era when referring to global developments.

Generally the middle ages refer to the period between the fall of the Roman empire and the start of the Renaissance so about 500 to 1500. Really the phrase is used to combine at lot of different events but without much overarching narrative (compared to the Renaissance or the Roman Empire).

Really the Middle Ages can be seen as the Early Middle Ages (which also partly covers the period known as the Dark Ages), the High Middle ages and the late Middle ages.