No. A loose handle affects how the door is pulled, while closure involves the seal, hinges, fittings and contents. Describe the two symptoms separately if both occur.
What the observation tells you
Pulling harder on a loose handle can damage its mounting or cause it to detach unexpectedly. Decorative caps may conceal fasteners, but that does not mean they should be prised off without the correct instructions.
A useful next step
Use the appliance safely and avoid loading the loose handle. Consult the model's owner guidance or arrange repair. Give the handle position and any visible crack, rather than ordering a seal solely because the door feels awkward.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.