CE/EE departments sometimes offer an undergraduate VLSI intro course where you learn the theory from a textbook like Weste and Harris and get to design and tape

CE/EE departments sometimes offer an undergraduate VLSI intro course where you learn the theory from a textbook like Weste and Harris and get to design and tape-out your own chip via the Cadence or Synopsys tools and then fab it through an MPW service like MOSIS or CMP. So, it's certainly possible to learn some hands-on chip design fundamentals in school, but if your department doesn't offer it, you're pretty much out of luck. You could do your own extracurricular MPW run of a small design for maybe a thousand dollars, but you'll be stuck with SCMOS cell libraries and free tools like Magic or Electric, which aren't representative of industry.