Not necessarily, depends on the player really. There all different. Suarez is a world class support striker but hes not a midfielder. Where as someone like Sneijder can play a "support striker role and is a midfielder. A straight answer would be no, but they do exist.
Typical positions are: Goalkeeper, Full Back (right or left) Centre Back, Sweeper, Wing Back (right or left), Defensive Midfielder, Central Midfielder, Attacking Midfielder, Winger (right or left), Left Midfielder, Right Midfielder, Support Striker, Striker
The striker is also known as the forward or centre forward. The main job for this player is to make and set up goals. Players that play striker are Lionel Messi, Cristiano Ronaldo, Fernando Tores, Wayne Rooney, exc.