targetContentOffsetForProposedContentOffset:withScrollingVelocity without subclassing UICollectionViewFlowLayout

OK, answer is no, there is no way to do this without subclassing UICollectionViewFlowLayout.

However, subclassing it is incredibly easy for anyone who is reading this in the future.

First I set up the subclass call MyCollectionViewFlowLayout and then in interface builder I changed the collection view layout to Custom and selected my flow layout subclass.

Because you're doing it this way you can't specify items sizes, etc... in IB so in MyCollectionViewFlowLayout.m I have this...

- (void)awakeFromNib
{
    self.itemSize = CGSizeMake(75.0, 75.0);
    self.minimumInteritemSpacing = 10.0;
    self.minimumLineSpacing = 10.0;
    self.scrollDirection = UICollectionViewScrollDirectionHorizontal;
    self.sectionInset = UIEdgeInsetsMake(10.0, 10.0, 10.0, 10.0);
}

This sets up all the sizes for me and the scroll direction.

Then ...

- (CGPoint)targetContentOffsetForProposedContentOffset:(CGPoint)proposedContentOffset withScrollingVelocity:(CGPoint)velocity
{
    CGFloat offsetAdjustment = MAXFLOAT;
    CGFloat horizontalOffset = proposedContentOffset.x + 5;

    CGRect targetRect = CGRectMake(proposedContentOffset.x, 0, self.collectionView.bounds.size.width, self.collectionView.bounds.size.height);

    NSArray *array = [super layoutAttributesForElementsInRect:targetRect];

    for (UICollectionViewLayoutAttributes *layoutAttributes in array) {
        CGFloat itemOffset = layoutAttributes.frame.origin.x;
        if (ABS(itemOffset - horizontalOffset) < ABS(offsetAdjustment)) {
            offsetAdjustment = itemOffset - horizontalOffset;
        }
    }

    return CGPointMake(proposedContentOffset.x + offsetAdjustment, proposedContentOffset.y);
}

This ensures that the scrolling ends with a margin of 5.0 on the left hand edge.

That's all I needed to do. I didn't need to set the flow layout in code at all.

Dan's solution is flawed. It does not handle user flicking well. The cases when user flicks fast and scroll did not move so much, have animation glitches.

My proposed alternative implementation has the same pagination as proposed before, but handles user flicking between pages.

 #pragma mark - Pagination
 - (CGFloat)pageWidth {
     return self.itemSize.width + self.minimumLineSpacing;
 }

 - (CGPoint)targetContentOffsetForProposedContentOffset:(CGPoint)proposedContentOffset withScrollingVelocity:(CGPoint)velocity
 {           
        CGFloat rawPageValue = self.collectionView.contentOffset.x / self.pageWidth;
        CGFloat currentPage = (velocity.x > 0.0) ? floor(rawPageValue) : ceil(rawPageValue);
        CGFloat nextPage = (velocity.x > 0.0) ? ceil(rawPageValue) : floor(rawPageValue);

        BOOL pannedLessThanAPage = fabs(1 + currentPage - rawPageValue) > 0.5;
        BOOL flicked = fabs(velocity.x) > [self flickVelocity];
        if (pannedLessThanAPage && flicked) {
            proposedContentOffset.x = nextPage * self.pageWidth;
        } else {
            proposedContentOffset.x = round(rawPageValue) * self.pageWidth;
        }

        return proposedContentOffset;
 }

 - (CGFloat)flickVelocity {
     return 0.3;
 }

Swift version of the accepted answer.

override func targetContentOffset(forProposedContentOffset proposedContentOffset: CGPoint, withScrollingVelocity velocity: CGPoint) -> CGPoint {
    var offsetAdjustment = CGFloat.greatestFiniteMagnitude
    let horizontalOffset = proposedContentOffset.x
    let targetRect = CGRect(origin: CGPoint(x: proposedContentOffset.x, y: 0), size: self.collectionView!.bounds.size)

    for layoutAttributes in super.layoutAttributesForElements(in: targetRect)! {
        let itemOffset = layoutAttributes.frame.origin.x
        if (abs(itemOffset - horizontalOffset) < abs(offsetAdjustment)) {
            offsetAdjustment = itemOffset - horizontalOffset
        }
    }

    return CGPoint(x: proposedContentOffset.x + offsetAdjustment, y: proposedContentOffset.y)
}    

Valid for Swift 5.