mixer:RFFC5071A- What is the minimum up or down conversion shift in frequency it can achieve

If the input frequency to the mixer is F1 and the output frequency from the mixer is called F2, What is the minimum Delta(F2-F1) that the mixer can achieve?

This will be set by the minimum LO frequency of 85MHz.

The data sheet says: Both devices can be configured to work as signal sources by bypassing the
integrated mixers.

Does this mean we can also configure the mixers to bypass the mixing i.e provide no up or down conversion and just pass the input signal to output?

Not really. The mixer has isolation between input and output.