Sick of Business Studies and looking to get into Engineering.

I'm getting a degree in Business Administration (BBA(hons)) from the University of Wales, currently in my last year. I do not want to pursue further studies in business. I wanted to go for Architecture initially, but ended up here somehow.

Anyway, I plan on studying in Germany in the future. And I've looked into a few different programs, including psychology and technology+architectural design. Now I've been told that I can get into psychology but that's a second option for me.
Architectural design comes under engineering, and they haven't specified if a business student can apply. I am going to apply though. But just want to be sure if there's a chance. I have no problems with mathematics (as some people assume business students do).

Although, my results for the past two years have been excellent, I feel that in this field I haven't achieved what I could have. So will it really be possible for me to get into engineering with a business degree?