For some app distribution channels, like with iOS apps, that can be difficult to impossible to actually implement given the control Apple has over app packaging and distribution.
Otherwise, you should be able to distribute a commercial non-LGPL app that uses an LGPL library just fine as long as you meet that stipulation.
As others have pointed out, WxWidgets ships with a modified LGPL license that makes this point moot, anyway, and makes it easier for commercial apps to comply with the modified license compared to the bare LGPL as they are free to statically link WxWidgets and distribute apps in compliance with the modified license.
You theoretically can.
You also have to offer them source code, or just ship it along with.