I think you can take the same classes until you’re basically a junior AND then you apply to the engineering program and hope you get admitted and get the engineering major you desire. There’s no guarantee.
I’m sure someone has some stats on what it takes to get admitted to engineering. I’ve heard that you better have at least a 3.6 GPA after your sophomore year to get into Finance. I’m guessing some of the more popular degrees like engineering are also difficult.
For Chem E here’s what the website says.
https://bulletins.psu.edu/undergraduate/colleges/engineering/chemical-engineering-bs/#howtogetintext
29-55 graded Penn State credits (excludes transfer and AP credits)
completed with a grade of C or better: CHEM 110, EDSGN 100, MATH 140, MATH 141, PHYS 211
earned a minimum cumulative grade-point average (GPA) of 3.20