So they are virtually the same stats to get into Lsa vs engineering at Michigan these days. It’s almost a wash. Lsa is 3.9 GPA with 32-35 Act and engineering is 3.93 GPA with a 34 Act avg. So yes, an Lsa student at Michigan can be accepted just about anywhere for engineering including Michigan, stat wise.
It’s easy to cross campus transfer from Lsa into Engineering https://www.engin.umich.edu/admissions/undergrad/cross-campus-students/
But if you want engineering then just apply there. Also talk to your high school counselor and look at Naviance to see if going one way vs the other makes a difference. At my son’s school it did.