I believe the short answer is: No.
Unfortunately.
However, if you have full control over how the Flash object is created, you can open the public API for javascript, allowing it to "manually" translate the direct coordinate of the mouse and mouse button information into flash, since you control the mouse on top of the HTML overlay.
It might be worth checking if the Flash Street Street View object provides an open javascript API that can allow you to control some flash control based on mouse events selected by your HTML overlay.
Wait for the sky to fall if you try this. :-)
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