Needed to know if an HTML element can have multiple attributes of ID's
Short answer? No because the browser will only render the first one.
See this Fiddle, I can only target it in CSS using the first id that appears in the DOM. Try changing that CSS selector to use the second id, it won't work.
That's because it seems like the second ID is being disregarded by the browser, as this is the output HTML:
<input type="text" id="identifier1">
If you really need additional identifiers on an element, you should think about using either multiple class names or data attributes to correspond to additional data.