No. The 'desktop' version of SimpleViewer (the non-Mobile version) requires the full version of Adobe Flash Player which is not available on most mobile devices.
As long as the useFlash Embed Code Parameter is set to 'true' (select the 'Use Flash' checkbox in svBuilder-Pro's 'Customize -> Embed Options' section), SimpleViewer will display the gallery using the Flash Player where possible, falling back to the Mobile Player version where Adobe Flash Player is not available (ie. on mobile devices and in browsers which do not have Adobe Flash Player installed and enabled).

@naomi

As far as I am aware, the Android version of Adobe Flash Player is not sufficient to display the Flash Player version of a SimpleViewer gallery. However, the gallery should still be displayed by the Mobile Player.

In your gallery's embedding code, you use the following lines (hard-coding the 'www' subdomain).

<script type="text/javascript" src="http://www.art925.com/commissions/svcore/js/simpleviewer.js"></script>

flashvars.baseURL = "http://www.art925.com/commissions/";

... but you quoted your web site address without the 'www' subdomain (http://art925.com/commissions.html).

The Mobile Player (HTML) version of the gallery requires that all the gallery files are on the same domain or subdomain as the web page containing the gallery's JavaScript embedding code. This is due to the same-origin policy.

If you go to your web site via http://www.art925.com/commissions.html (i.e. using the 'www' subdomain), then you should see the gallery displayed on your Android device.

A simple solution would be to use relative paths (rather than absolute paths) in your gallery's embedding code and the gallery will then be displayed on both http://art925.com/ and http://www.art925.com/
Try the following:

<!--START SIMPLEVIEWER EMBED.-->
<script type="text/javascript" src="/commissions/svcore/js/simpleviewer.js"></script>
<script type="text/javascript">
    var flashvars = {};
    flashvars.baseURL = "/commissions/";
    simpleviewer.ready(function () {
        simpleviewer.load("sv-container", "1200", "700", "666666", true, flashvars);
    });
</script>
<div id="sv-container"></div>
<!-- END SIMPLEVIEWER EMBED -->

The leading slash in the code above denotes your root directory.

If you are looking for a more configurable gallery for mobile devices, then you might like to take a look at another one of our image viewers: Juicebox. Juicebox is a HTML 5 image viewer and does not use or rely on Adobe Flash at all.
For more information about the differences between SimpleViewer and Juicebox, please see this SimpleViewer news article.