Is it possible for women to have just a little time of their own without the invasion of men ?

Women invade men's space more than men invade women's space.

Yes. communication is key to being left alone. IE, "Leave me alone until I'm done with this painting." or "Ill call you when Im finished."

Women are seemingly incapable of coming up with their own ideas for activities, so invading male things is pretty much their only choice. lol

Create an organization like the boy scouts for girls? Nope, women are incapable of doing that, so they just invade the boy scouts instead. 

And women are invasive little parasites like this since they are little girls. Boys go off to do their own thing and who just has to come along? The little sister of course.

What's really annoying though is when a man creates women their own thing and before too long women decide they would rather invade the male thing instead. 

Then when they get called on being invasive little parasites they claim victimhood even if they are the party that is acting in an unwelcomed fashion.