Hi,
In theory yes, I made it ages ago, if we talk about VM3,
I've edited (probably) that file : gk_storefront\html\com_virtuemart\productdetails\default.php
and put there a social code from AddThis or AddToAny service and worked.
But this kind of customization must be made by customer not support guy like me.
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Or max easy option, just publish somewhere a social module...