Girl's Behavior

When a girl invites herself over and acts really flirty, can it be innocent?

There’s a girl I really like at college but I can’t tell if she’s just innocently flirty. In one day though she lathered the flirty behaviour on thick. We had a play fight, told me to stop seeing the girl I am kind of seeing, criticized her own boyfriend, asked me to go the supermarket with her, told me she would annoy me at work tomorrow night, I work at the student bar. Last but not least, she asked me if I had a certain video game, saying she would come over if I was playing it. As a girl, if you were behaving like this, what would be going through your head?
When a girl invites herself over and acts really flirty, can it be innocent?
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