Yes, and I agree with all the child comments. The principal-agent cost with consulting firms is enormous. In the most uncharitable light, their business model is a wealth transfer insofar as their profit derives directly from maximizing this cost.
I know it's fashionable to hate on MBAs, but I am not entirely convinced engineers are any better equipped with skills such as: requirements gathering, scoping, presenting, project management, competitive research, financial modeling, memo writing, and strategic planning. I don't believe these are truly vacuous activities, and - loathe as I am to say - MBAs may be the best trained to do this.
Bring a color-print out of your projects. This worked wonders for me when I was applying to jobs.
For reference, my website is here: https://www.alexpetralia.com. I printed out the first page, then could talk about each project quite tangibly with the print-out in hand.
You still need a portfolio, you just also have to SHOW it. It is your job as an applicant, not theirs to research every candidate that comes by.