I ordered a DIY spectroscopy kit from public-lab, however don't have access to a halogen lamp to calibrate the wavelengths.
I'm wondering if it would somehow be possible to calibrate the wavelength using the iPhone camera light?
According to the site, wavelength calibration is meant to be done with a compact fluorescent lamp (for the mercury lines), but at the bottom there's a tool for calibrating using any two known wavelengths. If the LED on the phone has two distinct lines that you can calibrate against, it may work, but something like a pair of monochromatic LEDs or laser pointers (say one blue and one red) or something will probably work better.
I don't know about the exact calibration setup of the spectroscopy kit, which sounds interesting, but i doubt that the cell phone lamp will be useful here.
Both lamps seem to emit while light, but both the ways how light is generated, as well as the emission spectra of cell phone camera light and a halogen lamp are rather different.
Cell phone camera lights are typically blue light emitting diodes partly covered with one one more phosphors (not, it isn't phosphorous) which absorb the blue light and emit yellow (or orange) light. The emission spectrum of the devices consists of some distict bands.
Halogen lamps are tuned heavily incandescent lamps with a tungsten filament. Here, the spectrum is more similar to a black body radiator.
Consequently, I suggest to get a halogen lamp. A cheap 12V lamp with a socket (often GU4) and a power supply will probably work fine.
"Naked lamps" do emit in the UV too; Lamps with a reflector to provide a collimated beam have an additional glas cover that shield the UV part. Check the manual of the spectrometer kit for some directions.