No, because an attribute must not be repeated in tag. This is a general rule in HTML, not limited to the id attribute. For nominally SGML-based versions of HTML and for XHTML, this follows from general SGML and XML rules. For HTML serialized HTML5, see HTML5 CR, 8.1.2.3 Attributes.
It’s difficult to see why you would use duplicate id attributes, so I can’t suggest a workaround. In general, for any normal use of the id attribute, one attribute per element is sufficient.