It is feasible to take seven AP tests senior year. All the tests happen over two weeks in May and you’ll have college applications well out of the way several months before that. Also, there is nothing at stake except lost testing fees if you don’t do as well as you hope, so there is little-to-no downside to trying.
Whether it is a good decision to take five AP classes depends on the student. Except for Physics C, though, and possibly econ, you’re taking relatively easy AP classes. Your junior year of high school actually shows more rigor than your senior year. I’d be a little curious about how colleges might interpret that. I’m not sure how much it matters for Berkeley, though, since the UCs sort of have their own way of evaluation.