Yes, but you must contact through a form or get someone from inside to show it to you. Unfortunately, I'm out of town til next week so I cannot offer it myself. Check out https://www.bsc.es/discover-bsc/visit-our-supercomputer
If you want to visit some other nerdy places, I suggest you to visit:
- CaixaForum: cool science museum
- Observatori Fabra: a very old telescope (no longer used for science) but has cool views of the city
These days there is a very cool interactive AI exposition at CCCB. I really recommend it.
If the guide is not available just DM me one or two days before you arrive. Any BSC staff can give a tour to a small group. But it is necessary to schedule ahead and avoid events/other tours.
You can also visit the luminous click on Via Laietana. It is old, free (on the sidewalk), but interesting.
You can enter any library to browse. Abello library in Les Corts hosts the Asimov Foundation collection. I think the Sagrada Familia library has the scientific illustration collection, etc.
I remember seeing a really old elevator in the Gòtic neighborhood... I can't remember the name of the museum where it was but it was at the museum entrance (you can just walk in and have a look).
You can also walk in most campi like UPC, UB, etc. They have some exhibitions and also panels with history of the uni and faculties. As well as libraries too.
Any other nerd recommendations that can spare me from yet another Passeig de Gracia walk?