An iPhone 4S may capture something, but it’s very limited for aurora photography. The main challenge is that the Northern Lights are dim and usually require long exposures, a steady camera, dark skies, and some luck.

What helps:

• A long-exposure/manual camera app that allows slow shutter speeds and control over ISO/focus.
• A tripod or solid phone mount, because handheld shots won’t work for multi-second exposures.
• A clear, cold, dark night with little to no light pollution, ideally in a good aurora zone.
• Some post-processing afterward.

What to expect:

• You might record faint color or glow, but image quality will likely be limited.
• The Olloclip may help widen the view, but it won’t solve the phone sensor’s low-light limitations.
• A compact camera or other camera with better low-light performance and manual long exposures is a better choice if you want stronger results.

So: yes, possibly, but only modestly. For the best chance, use a manual/slow-shutter app plus a tripod, and keep expectations realistic.