Yes! If you are planning to move out on your own when you graduate, start now in saving money. If you choose to rent you will usually need a chunk of money to get started. You'll need first month's rent, security deposit (usually the amount of one month's rent), plus, if you are paying your own utilities, they usually require a security deposit as well (expect around $150 for electric and maybe the same for gas). So if you are renting a $500 apartment you may need as much as $1300-$1500 ready to go the month you move in.
If you choose to buy, you will need a good chunk of money for a down-payment and often times just to submit an offer on a house you need earnest money of $500 or $1,000. Remember, the more you have to put down the less you are going to pay on the house because that's that much less interest you will be paying! It's also easier to get a loan if you have a substantial down-payment.