Is there a way with javascript (particularly jQuery) to find an element based on a partial attribute name?

I am not looking for any of the selectors that find partial attribute values as referenced in these links:

• starts with [name^="value"]
• contains prefix [name|="value"]
• contains [name*="value"]
• contains word [name~="value"]
• ends with [name$="value"]
• equals [name="value"]
• not equal [name!="value"]
• starts with [name^="value"]

but more something along the lines of

<div data-api-src="some value"></div>
<div data-api-myattr="foobar"></div>

and

$("[^data-api]").doSomething()

to find any element that has an attribute that starts with "data-api".