Only when the event is present on the control. It is on the regular
.NET framework version of the control. As it is inherited from the
System.Windows.Forms.Control class, it is actually present on _every_
control, at least in the regular version of .NET.
According to the docs, the Click event _is_ supported on Compact
Framework 2.0. Note the mobile-phone icon by the Click event on this page:
The main topic page in the 2.0 docs for the event specifically states
that it is supported in Compact Framework 2.0:
I cannot tell you why you are only seeing the three events you mention.
I suppose it is possible that the Designer is for some reason not showing
it, but you really ought to be able to at least write code that uses the
event and have that compile successfully.
Of course, this and all other CF-specific questions are much better
answered in a forum specifically for CF-specific questions. Here, much
of what you are going to get is random guesses and shrugs. In a
CF-specific forum, there is probably someone there who can tell you
exactly what problem you are running into and how to work around it.