Question: Is it possible that adding more import statements to your java code could slow down the time it takes to load your classes into the JVM?

Answer: 
No. Imports are purely a compile time construct ... syntactic sugar.

The imports tell the Java compiler how to map identifiers in the source code to fully qualified class names. But if the source code does not use an imported class, the bytecode file will have no references to it. Hence, a redundant import does not (and cannot) impact on class load times.
Don't confuse the word "import" with "class loading". The import statement does not cause any code to be loaded into memory. It's just a convenience that allows you to refer to classes using their short name instead of typing the full class name (e.g, "Connection" instead of "java.sql.Connection").