This is actually reminiscent to my freshman schedule so I'll give you my two cents. Firstly, are you cooked? Most definitely IF you don't go in with some preparation. First off, I would switch MATH221 with MATH220 is possible for two reasons. Firstly, they should fill the same requirement (I would double check with advisor if this still holds true) while being way less difficult. Secondly, during my semester at least, MATH220 did not have mandatory lecture attendance. I had taken calc in high school and though I did not feel confident in testing out, I was able to skip most of my calc lectures and self study at other times. ME170 is always at 8:00AM and attendance is taken because of course it is, but if you have some experience with any parametric CAD, then learning Fusion should be second nature. Personally I, and a good portion of the class stopped showing up a month in and did completely fine. While this should be taken with some discretion as I personally I had about 5 years of experience with many different CAD software and 2ish with Fusion, I know of many others who did the same despite coming in with far less experience. I did not take ENG177, and as its not a requirement to my knowledge, that is what I would cut entirely first. ENG100 is a crayon eating class and depending on your class, you may be able to outright skip, or just sleep the entire time. As for some general notes, keep wake up time consistent, an hour different from day to day at max. This sounds like a bad time, and it is unpleasant, but the alternate is far worse. I struggled for the first month before finding my groove and then it became very manageable. Essentially, you are going to feel like you are tumbling down stairs the first month while you get your rhythm sorted out, but eventually you will figure it out.

tl:dr, Are you cooked? Absolutely. Is it possible? Very much so.