No, it is not, look at MSDN where the documentation states:
xsd: unique element
Indicates that the value of an attribute or element (or a combination of attribute or element values) must be unique within the specified scope. The value must be unique or equal to zero.
Microsoft ( ) , case-
<xs:unique name="uniqueCounterName">
<xs:annotation>
<xs:documentation>
Counter Name must be unique within the Counter Set. The name is
case-sensitive.
</xs:documentation>
</xs:annotation>
<xs:selector xpath="./man:counter"/>
<xs:field xpath="@name"/>
</xs:unique>