No.
A wrapper class is theoretically defined as one of the eight classes that wraps a primitive value in JAVA. Although a character is a primitive datatype, a String is a sequence of characters or a character array and is widely used for the purpose of representing a character sequence conveniently. A String does not wrap a SINGLE character but a SEQUENCE of characters (Even if it only contains a single character in a specific situation), making the value it contains a non-primitive value. I hope that clarifies your doubt.