No, it would not be professional to include this in your presentation.
Most internship presentations are meant to be a summary of your work and the things you've accomplished over the term. It's usually more of a benefit to you than the company, to help you develop technical communication and presentation skills. Including criticism of your experience in this venue, which will likely include a number of co-workers you don't know very well, would be inappropriate and reflect poorly on you.
That's not to say that you can't give negative feedback on your experience at all, but the presentation is not the place for it. This sort of feedback is better given to your manager in a one-on-one setting where a conversation can be had rather than a one-way lecture.
I would also note that your comments won't be received well if this is the first time your manager is hearing about it. If you have been lacking work all summer and haven't been asking for more or indicating your manager that you don't have anything to do, then you are equally responsible for your poor experience. Managers can't fix a problem they don't know about.
Since you were specifically asked to provide feedback in the presentation, it's okay to include something. Definitely include positive feedback for the things you enjoyed. If you are going to include anything negative, it should still come off as positive and that you enjoyed working there. For example in your case you could say,
I wish I could have been able to get involved in more projects.
This will come off as "I liked it so much I wish I could do more!" instead of "I was bored and had nothing to do." Say what you wanted, not what you didn't like. It's all about spinning the negative feedback to sound like a positive. Probably best not to mention the micromanagement, as I'm not sure how to make that sound good.