Ответ 1
NSString *textToShare = @"your text";
UIImage *imageToShare = [UIImage imageNamed:@"yourImage.png"];
NSArray *itemsToShare = @[textToShare, imageToShare];
UIActivityViewController *activityVC = [[UIActivityViewController alloc] initWithActivityItems:itemsToShare applicationActivities:nil];
activityVC.excludedActivityTypes = @[UIActivityTypePrint, UIActivityTypeCopyToPasteboard, UIActivityTypeAssignToContact, UIActivityTypeSaveToCameraRoll]; //or whichever you don't need
[self presentViewController:activityVC animated:YES completion:nil];
См. документацию UIActivityViewController: https://developer.apple.com/documentation/uikit/uiactivityviewcontroller