You may have a case against the owner and/or management company of your friend's apartment building. The owner/management company has the duty to keep common areas safe and absent of unreasonably dangerous conditions such as ice and snow. Therefore, the snow and ice should have been removed for the safety of the tenants and their guests.
With slip and fall on ice or snow cases, the contested issue is whether the party responsible had notice of the snow/ice, and whether it was removed within a reasonable time. For example, if there was a snow storm 5 days before your fall and the apartment owner/management company did not do anything to clear the ice/snow, then you may have a case.
In order to evaluate your case, I would need to know the circumstances surrounding your slip and fall accident, i.e., when it happened, was there snow fall prior to your accident, how you fell, the lighting conditions in the parking lot, etc. Therefore, it is important that you contact us so we can discuss your case further.