Yes, there are several credit card offers that can help you to start building your credit with no previous credit history.
I would recommend to apply for Capital One credit cards - Platinum or Quicksilver One
- no annual fee
- for average or no credit
- high 24.99% APR
These cards are marketed for people with no previous credit history, so you have good chances of approval.
Another option - to try Barclaycard Rewards card. This card is available for those with fair credit history, but usually that works for no credit history as well
Read more about cards for no credit in our article