Set up event on class and initialize state
I'm only vaguely familiar with coffeescript, but it seems like the issue is not that you need to call the event handler on init, it's that you need to call the logic currently residing in your event handler. If you separate your logic into reusable pieces, you can call this other method to execute your init logic. Without the complete code, it's hard to see what that logic is (by the way, incomplete code examples don't bode well for the Code Review site).

Consider something like this example though (sorry, pseudocode not coffeescript):

function init() {
    hideUserInformation();
}

function checkBoxChangeHandler(checkBox) {
    if(checkBox.checked) {
        hideUserInformation();
    } else {
        showUserInformation();
    }
}

function hideUserInformation() {
    // Some logic.
}

function showUserInformation() {
    // Some logic.
}


Now the event handler is only concerned with forwarding to the real logic, and you aren't trying to call an event handler with bogus arguments just to try to run the same code.