Hi Filippo,
First, welcome!
No, you cannot attach the jQuery UI DatePicker (or AjaxDatePicker)
*component* to a div because they inherits Wicket's DateTextField
which is a form component, so it has to be associated to a form
component (of type "text" or "date" to be precise).
If you want to have the inline datepicker, you can make your own
behavior (unfortunately I think you cannot reuse the existing
DatePickerBehavior, it is also designed to work with POST http
method).
The usage would be like:
        this.add(new InlineDatePickerBehavior("#datepicker", new Options()) {
            @Override
            public void onSelect(AjaxRequestTarget target, String date)
            {
                DefaultDatePickerPage.this.onSelect(target, date);
            }
        });
Here is the code for the custom inline datepicker that will return the
date, as text.
Note that this class implementation is very typical of handling a
jQuery UI widget behavior with an ajax callback
    abstract static class InlineDatePickerBehavior extends
JQueryUIBehavior implements IJQueryAjaxAware
    {
        private static final long serialVersionUID = 1L;
        public static final String METHOD = "datepicker";
        private JQueryAjaxBehavior onSelectAjaxBehavior;
        /**
         * Constructor
         *
         * @param selector the html selector (ie: "#myId")
         * @param options the {@link Options}
         */
        public InlineDatePickerBehavior(String selector, Options options)
        {
            super(selector, METHOD, options);
        }
        // Methods //
        @Override
        public void bind(Component component)
        {
            super.bind(component);
            this.onSelectAjaxBehavior = new OnSelectAjaxBehavior(this);
            component.add(this.onSelectAjaxBehavior);
        }
        // Events //
        @Override
        public void onConfigure(Component component)
        {
            this.setOption("onSelect",
this.onSelectAjaxBehavior.getCallbackFunction());
            super.onConfigure(component);
        }
        @Override
        public void onAjax(AjaxRequestTarget target, JQueryEvent event)
        {
            if (event instanceof SelectEvent)
            {
                this.onSelect(target, ((SelectEvent) event).getDateText());
            }
        }
        protected abstract void onSelect(AjaxRequestTarget target, String date);
        // Ajax classes //
        /**
         * Provides a {@link JQueryAjaxBehavior} that aims to be wired
to the 'onSelect' event
         */
        protected static class OnSelectAjaxBehavior extends JQueryAjaxBehavior
        {
            private static final long serialVersionUID = 1L;
            public OnSelectAjaxBehavior(final IJQueryAjaxAware source)
            {
                super(source);
            }
            @Override
            protected CallbackParameter[] getCallbackParameters()
            {
                // function( dateText, inst ) { ... }
                return new CallbackParameter[] {
CallbackParameter.explicit("dateText"),
CallbackParameter.context("inst") };
            }
            @Override
            protected JQueryEvent newEvent()
            {
                return new SelectEvent();
            }
        }
        // Event Object //
        /**
         * Provides an event object that will be broadcasted by the
{@link OnSelectAjaxBehavior} callback
         */
        protected static class SelectEvent extends JQueryEvent
        {
            private final String date;
            public SelectEvent()
            {
                this.date =
RequestCycleUtils.getQueryParameterValue("dateText").toString();
            }
            public String getDateText()
            {
                return this.date;
            }
        }
    }
I added this example to the wiki (may be more readable):
https://github.com/sebfz1/wicket-jquery-ui/wiki/%5Bhowto%5D-Inline-jQuery-UI-DatePicker-Behavior