If you are willing to take summer classes, then yes. You’ll need to take summer classes after your first year and maybe after your second year too to make this work. You can take summer classes at Michigan Tech or at a community college and then transfer in the classes.
If summer classes are not feasible or you can only take a limited number of summer classes then you could also consider adjusting your classes so that you can co-op during the five years. Having engineering work experience through a co-op prior to graduation will help you with landing summer internships and your first full-time job because many employers look for this type of experience when hiring.
If you’d like help getting your options sorted out then set up a meeting with your advisor during a less busy time (week 3-7 of the semester).