Hi Danilo,
Thanks for contacting Syncfusion Support.
By default the Date Picker component input element will be editable and allows you to type a date value. Since in your sample a model value is used to update the value of the Date Picker control initially, component will be rendered with the initial value. Once the component has been rendered, you can clear the input element of the Date Picker component and enter the Date value as per your requirement. You can also cross check this with our online sample browser in the below link.
Please let us know if you need any further assistance.
Regards,
Prem Kumar M