Yes, it’s possible, but not at all trivial - just looking for the biggest weights isn’t sufficient.
an example of some of the complications is at:
And here are some relevant papers:
Lee, et al. (2010) Effective functional mapping of fMRI data with support vector machines. Human Brain Mapping.
Haufe, et al. (2014) On the interpretation of weight vectors of linear models in multivariate neuroimaging. NeuroImage.
Schrouff, et al. (2018) Embedding Anatomical or Functional Knowledge… Neuroinformatics. And her PR4NI talk @ OHBM 2017 (https://www.pathlms.com/ohbm/courses/5158/sections/7784/video_presentations/75947).
Gaonkar, et al. (2015) https://doi.org/10.1016/j.media.2015.06.008