Xamarin Forms Switch Toggled event doesn't bind with viewmodel

First off a Switch can not bind to a Command. See: https://developer.xamarin.com/guides/xamarin-forms/xaml/xaml-basics/data_bindings_to_mvvm/#Commanding_with_ViewModels

From the above, the Forms controls that can bind to an ICommand are:

• Button
• MenuItem
• ToolbarItem
• SearchBar
• TextCell (and hence also ImageCell )
• ListView
• TapGestureRecognizer

you can just do the following to run code in the View's code behind file, do this in the XAML:

<Switch IsToggled="{Binding IsOwned, Mode=TwoWay}"
        Toggled="Handle_Toggled" />

And then in the Code behind file:

void Handle_Toggled(object sender, Xamarin.Forms.ToggledEventArgs e)
{
    // Do stuff
}

Alternately, since you are binding, you could run code in the actual OwnedCurrencyWrapper class (which is what you seem to want) just by adding code to the setter for IsOwned. IN this case, don't assign anything to the Toggled property of your switch::

<Switch IsToggled="{Binding IsOwned, Mode=TwoWay}" />

And then in your OwnedCurrencyWrapper class:

bool _isOwned;
public bool IsOwned { 
    get 
    {
        return _isOwned;
    } 
    set
    {
        _isOwned = value;
        // Do any other stuff you want here
    }
}

That said, your binding is not complete since your view model is not implementing INotifyPropertyChanged so changes made directly to the view model will not be reflected in the UI. For more info on binding with Forms MVVM, see: https://developer.xamarin.com/guides/xamarin-forms/xaml/xaml-basics/data_bindings_to_mvvm/

UPDATE: I was not aware of Behaviors in Xamarin Forms. See: https://github.com/xamarin/xamarin-forms-samples/tree/master/Behaviors/EventToCommandBehavior

In the context of commanding, behaviors are a useful approach for connecting a control to a command. In addition, they can also be used to associate commands with controls that were not designed to interact with commands. This sample demonstrates using a behavior to invoke a command when an event fires.

So this should allow you to bind the Toggled event to a Command.

If you adhere to Prism framework you may easily wire an event to a command. Your xaml will look like in the following example.

<?xml version="1.0" encoding="utf-8" ?>
<ContentPage xmlns="http://xamarin.com/schemas/2014/forms"
                 xmlns:x="http://schemas.microsoft.com/winfx/2009/xaml"
                 xmlns:prism="clr-namespace:Prism.Mvvm;assembly=Prism.Forms"
                 xmlns:b="clr-namespace:Prism.Behaviors;assembly=Prism.Forms"
                 x:Class="TouristicWallet.Views.WalletManagementPage">
    <ContentPage.Content>
        <StackLayout VerticalOptions="CenterAndExpand" Padding="20">
            <Switch IsToggled="{Binding IsOwned}"  x:Name="IsOwnedSwitch">
                <Switch.Behaviors>
                    <b:EventToCommandBehavior EventName="Toggled"  Command="{Binding ToggleIsOwnedCommand}"/>
                </Switch.Behaviors>
            </Switch>
        </StackLayout>
    </ContentPage.Content>
</ContentPage>

As others have mentioned, you should bind the Toggled event to an eventHandler behavior which will forward a command. The code below can be used.

<Switch IsToggled="{Binding SwitchEnabled}"  x:Name="MySwitch">
    <Switch.Behaviors>
    <!-- behaviors namespace comes from "Xamarin.Forms Behaviors" nuget  -->
        <behaviors:EventHandlerBehavior EventName="Toggled">
            <behaviors:InvokeCommandAction Command="{Binding ToggleSwitchCommand}" />
        </behaviors:EventHandlerBehavior>
    </Switch.Behaviors>
</Switch>