Not easily. You can enable Application File Access monitoring which will monitor the files that the browsers read/open from a specific directory (via the filters in System > Agent > Agent Configuration), but this can degrade performance of the browser and won't help if the source read-only folder is different for all users.
Instead I'd recommend you index the document you want to ensure are not tampered with, with Indexed Document Matching (IDM) located in Manage > Data Profiles > Indexed Documents and set the threshold to 100% when referencing the index in policies. This will ensure the document 100% matches the index.