Can I draft in the middle of a fantasy week and have the scores reflect games that were already played?

If you import rosters or hold an email draft or a live draft after the player's game has played, you may not see the player on the roster for the current week. However, they will show on the next week's roster in weekly leagues and the next day's roster in daily leagues. If you need to credit the team with points, you can do so after the week ends by finding out their total points by searching for the player and adding up the player's points and then going to League » Settings » Edit Past Box Score.