[balinor]

Sure, just comment out the code for the sku wherever you don't want it to appear. On the product detail page, it is this bunch of code in customer/main/product.tpl:

<tr>
<td width="30%">{$lng.lbl_sku}</td>
<td nowrap="nowrap" id="product_code">{$product.productcode}</td>
</tr>

Moving to Template Editing.