I strongly doubt it.
Given the recent Supreme Court decision, unpaid internships are probably a thing of the past. Besides, most engineering firms that offer internships pay their interns. Those paid interns are expected to do something that is marginally useful. You aren't going to be able to learn to do anything useful in two weeks, let alone do it.
Two weeks is all you have, not four. Many companies are closed between Christmas and New Years Day. The week before Christmas is not a good time to start an internship because a lot of people take that last week off, and those who do work use that time to finish up the year. What could you learn and then do in two weeks?