Yes, prone creatures can make opportunity attacks.
The base understanding in D&D 5E is "Rules do what they say they do." So...
Rules for opportunity attacks
You can make an opportunity attack when a hostile creature that you can see moves out of your reach. To make the opportunity attack, you use your reaction to make one melee attack against the provoking creature. The attack occurs right before the creature leaves your reach.
You can avoid provoking an opportunity attack by taking the Disengage action. You also don't provoke an opportunity attack when you teleport or when someone or something moves you without using your movement, action, or reaction. For example, you don't provoke an opportunity attack if an explosion hurls you out of a foe's reach or if gravity causes you to fall past an enemy.
So, in short, to make an opportunity attack...
- The attacker must have a Reaction available
- A Creature must move out of the attacker's reach using its movement, an action, or a reaction
Prone does the following:
-A prone creature's only movement option is to crawl, unless it stands up and thereby ends the condition.
-The creature has disadvantage on attack rolls.
-An attack roll against the creature has advantage if the attacker is within 5 feet of the creature. Otherwise, the attack roll has disadvantage.
Nothing in that list prevents using a Reaction. The Opportunity Attack will be made at Disadvantage, though.