It can change the appliance's operating demand, but the extent depends on the design. Do not assume the compartments are completely independent because they have separate doors.
What the observation tells you
A long refrigerator opening can coincide with altered running time or alarms. That timing is useful, although it does not prove a freezer fault has no other cause. Repeatedly opening the door to test the relationship adds unnecessary heat.
A useful next step
Record the actual incident and monitor both compartments appropriately. Keep normal openings brief and seek advice if unsuitable conditions persist after ordinary use is restored.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.