Dear,

Yes, definitely you can go for internships for makeup artist. Internships are basically designed to train you or make you learn the skills of particular course. You need not to have any jobs profile or any kind of previous work profile.

You can try various kinds of internships which available both online and offline. This will ultimately gain you experience and more knowledge as a result of which, you can then pursue your buisness as a Makeup Artist or can work anywhere.

Hope this solved your query.

All the Best!!