You're looking for a way to bind an Event to a Command. The typical approach here is to use the EventToCommand behavior from MVVMLight.
Example usage (from the linked article):
<StackPanel Background="Transparent">
<i:Interaction.Triggers>
<i:EventTrigger EventName="Tap">
<command:EventToCommand
Command="{Binding Main.NavigateToArticleCommand,
Mode=OneWay,
Source={StaticResource Locator}}"
CommandParameter="{Binding Mode=OneWay}" />
</i:EventTrigger>
</i:Interaction.Triggers>
<!--...-->
</StackPanel>
For your specific scenario, you are not using MVVMLight. Since that framework is open-source, you could copy the implementation of EventToCommand into your own project, or - more simply - you can use the InvokeCommandAction, which is part of the System.Windows.Interactivity.dll library, included with Expression Blend.
Example of InvokeCommandAction:
<TextBox x:Name="TicketNumber">
<i:Interaction.Triggers>
<i:EventTrigger EventName="KeyDown">
<i:InvokeCommandAction Command="{Binding OpenTicketCommand}" />
</i:EventTrigger>
</i:Interaction.Triggers>
</TextBox>
Lastly, this entire MVVM dogma that you "can't have any code behind" has been shot down time | and | time again (that last link is particularly relevant). MVVM is supposed to be unit-testable, and separates the "View logic" from the "Business logic." The "Close" event is admittedly a bit of a gray area between View and Business logic. But, if you can write an event handler in your code behind, which invokes your ViewModel's appropriate method or command, and if you can unit test that code, then you're as good as gold. Don't worry about removing all traces of code-behind from your project.