Currently, the answer is no. The reason is that MRIs are not being used as a screening tool in the general population of women or even in young, dense-breasted women.
The lack of MRIs to screen for breast cancer is due to several factors:
MRIs are very expensive, and most insurance companies do not cover them
Like most screening techniques, MRIs generate false positives (things that may look like cancers, but are just normal changes in the breast)
Presently, MRIs are only being used to screen breasts in clinical studies, which are not accepting new patients.