Well, my first rhetorical question: It's 2014, why MS Access? MS SQL has free versions that are much faster and more stable than any MS Access version, I don't see any drawback migrating.
Now more to your question, 32 bit "should" not be a factor. 64 bit apps can talk to most 32 bit apps via an API without much difficulty. The only exception that I am aware of are 32 bit apps that rely exclusively on DLLs for their API -- I don't "think" MS Access has this limitation. It's probably been at least 15 years since I touched anything dealing with MS Access thus my hesitance to be more definitive in my answer. Good luck.