Yes, it's possible. As Gert said, you can perform PET scans. Another method is contrast-agent (gadolinium) enhanced MRI, which is also usually applied in patient diagnostics for BBB damage. We had good experiences with this in a model of radiation-induced brain injury (https://doi.org/10.3389/fonc.2020.598360).
Gadolinium has a size of around 0.5 kDa. In case you are interested in the permeability of bigger proteins or want to measure size-specific break-down, you can perform in vivo optical imaging using (conjugated) Cy5.5
The protocol is described here: https://link.springer.com/protocol/10.1007%2F978-1-61779-191-8_29.