No. SRM temporarily overrides the Output Filepath while calculating the batch render. Once the render is finished (or canceled), it safely restores your original Blender Output path settings.

This is a native limitation of Blender's Python API during batch processes. Pressing ESC only cancels the current frame calculation. To completely abort the entire Batch Render queue, simply press the ESC key rapidly multiple times until the process stops entirely.

SRM does not overwrite files unless you render the exact same frame, with the exact same version number, and the exact same camera name. To stay safe, always use the "Render & Increment" button to ensure your new renders go into a fresh version folder, and make sure the {frame} token is included in your naming pattern!