No, you cannot earn the second and third level Star Matrix Bonus without earning the first level.
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To qualify for the 2nd Generation Star Matrix Bonus ($75), you must qualify for the 1st Generation Bonus ($50) first.
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To qualify for the 3rd Generation Star Matrix Bonus ($100), you must qualify for the 2nd Generation Bonus ($75) first.

To qualify for the 4th Generation Star Matrix Bonus ($150), you must qualify for the 3rd Generation Bonus ($100) first.

To qualify for the 5th Generation Star Matrix Bonus ($200), you must qualify for the 4th Generation Bonus ($150) first.