Hi phonghue,
You need to use TemplateField to format DateTime. Refer below code.
HTML
<asp:GridView ID="GridView1" runat="server" AutoGenerateColumns="False" DataSourceID="SqlDataSource3" DataKeyNames="AutoNum">
    <AlternatingRowStyle BackColor="#CCCCFF" />
    <Columns>
        <asp:BoundField DataField="AutoNum" HeaderText="AutoNum" SortExpression="AutoNum" InsertVisible="False" ReadOnly="True" Visible="false" />
        <asp:BoundField DataField="StudCWID" HeaderText="CWID" SortExpression="StudCWID" ReadOnly="True" />
        <asp:BoundField DataField="STUDLastname" HeaderText="STUDLastname" SortExpression="STUDLastname" Visible="false" />
        <asp:BoundField DataField="STUDFirstname" HeaderText="STUDFirstname" SortExpression="STUDFirstname" Visible="false" />
        <asp:TemplateField HeaderText="Contact Date" SortExpression="ContactDate">
            <EditItemTemplate>
                <asp:TextBox ID="txtContactDate" runat="server" Text='<%# Bind("ContactDate","{0:d}") %>'></asp:TextBox>
            </EditItemTemplate>
            <ItemTemplate>
                <asp:Label ID="lblContactDate" runat="server" Text='<%# Bind("ContactDate", "{0:dd-MM-yyyy}") %>'></asp:Label>
            </ItemTemplate>
        </asp:TemplateField>
        <asp:CommandField ShowEditButton="True" ButtonType="Button" />
        <asp:CommandField ShowDeleteButton="True" ButtonType="Button" />
    </Columns>
</asp:GridView>
<asp:SqlDataSource ID="SqlDataSource3" runat="server" ConnectionString="<%$ ConnectionStrings:DBHUSRConnectionString %>"
    SelectCommand="SELECT * FROM STUDENTSPLACEMENTS" SelectCommandType="Text"
    UpdateCommand="UPDATE STUDENTSPLACEMENTS SET ContactDate = @ContactDate WHERE (AutoNum = @AutoNum)"
    DeleteCommand="DELETE FROM STUDENTSPLACEMENTS WHERE (AutoNum = @AutoNum)">
    <DeleteParameters>
        <asp:Parameter Name="AutoNum" Type="Int32" />
    </DeleteParameters>
    <UpdateParameters>
        <asp:Parameter Name="ContactDate" Type="DateTime" />
        <asp:Parameter Name="AutoNum" Type="Int32" />
    </UpdateParameters>
</asp:SqlDataSource>
<link rel="stylesheet" href="//ajax.googleapis.com/ajax/libs/jqueryui/1.11.2/themes/smoothness/jquery-ui.css" />
<script src="//ajax.googleapis.com/ajax/libs/jquery/1.11.2/jquery.min.js"></script>
<script src="//ajax.googleapis.com/ajax/libs/jqueryui/1.11.2/jquery-ui.min.js"></script>
<script type="text/javascript">
    $(function () {
        $("[id*=GridView1]").find("[id*=txtContactDate]").each(function () {
            $(this).datepicker({
                dateFormat: 'dd-mm-yy'
            });
        });
    });
</script>