You can, but it may be more difficult for you to get to and from parties. That said, you may prefer to stick to catalogue parties or Internet sales until you have a vehicle.
If you have access to public transit, that can be a good way to get to and from, but as you know, it is not always the fastest or more efficient way to get around. Invest in a good suitcase to help haul your stuff to and from.
Of course, you can always cab to and from, but this could get pricey and there is no guarantee you will be make your money back. You can use these costs on your taxes though.