Can a java lambda have more than 1 parameter?

It's possible if you define such a functional interface with multiple type parameters. There is no such built in type. (There are a few limited types with multiple parameters.)

@FunctionalInterface
interface Function6<One, Two, Three, Four, Five, Six> {
    public Six apply(One one, Two two, Three three, Four four, Five five);
}

public static void main(String[] args) throws Exception {
    Function6<String, Integer, Double, Void, List<Float>, Character> func = (a, b, c, d, e) -> 'z';
}

I've called it Function6 here. The name is at your discretion, just try not to clash with existing names in the Java libraries.

There's also no way to define a variable number of type parameters, if that's what you were asking about.

Some languages, like Scala, define a number of built in such types, with 1, 2, 3, 4, 5, 6, etc. type parameters.

For something with 2 parameters, you could use BiFunction. If you need more, you can define your own function interface, like so:

@FunctionalInterface
public interface FourParameterFunction<T, U, V, W, R> {
    public R apply(T t, U u, V v, W w);
}

If there is more than one parameter, you need to put parentheses around the argument list, like so:

FourParameterFunction<String, Integer, Double, Person, String> myLambda = (a, b, c, d) -> {
    // do something
    return "done something";
};

For this case you could use interfaces from default library (java 1.8):

java.util.function.BiConsumer
java.util.function.BiFunction

There is a small (not the best) example of default method in interface:

default BiFunction<File, String, String> getFolderFileReader() {
    return (directory, fileName) -> {
        try {
            return FileUtils.readFile(directory, fileName);
        } catch (IOException e) {
            LOG.error("Unable to read file {} in {}.", fileName, directory.getAbsolutePath(), e);
        }
        return "";
    };
}}

To make the use of lambda : There are three type of operation:
1. Accept parameter --> Consumer
2. Test parameter return boolean --> Predicate
3. Manipulate parameter and return value --> Function

Java Functional interface upto two parameter:
Single parameter interface
Consumer
Predicate
Function

Two parameter interface
BiConsumer
BiPredicate
BiFunction

For more than two, you have to create functional interface as follow(Consumer type):

@FunctionalInterface
public interface FiveParameterConsumer<T, U, V, W, X> {
    public void accept(T t, U u, V v, W w, X x);
}