If I don’t go to an AACSB accredited college for undergrad, will accredited MBAs/MSs accept me?

I’m currently a sophomore in a 4 year college that accepts almost everyone. This college was my only choice because my high school grades sucked. I’m majoring in marketing and planning to minor in business data analytics. I would transfer ASAP but I didn’t do well in my freshman year. I was very lazy until last semester. Apparently my 3.5 last semester gpa only made my cumulative gpa 3.0. I did some research on the AACSB and the whole internet says it matters. Let me know if I shouldn’t believe the whole internet. If the whole internet is right, then here’s my question: If I do really well from now on, study my heart out and score good on the GRE and GMAT, can I still get into an AACSB accredited Masters program or MBA?

Yes. Your work experience will be important.