Yes. An indirect free kick, for either team, may be awarded within the penalty area. Only the defense may be awarded a direct free kick in the penalty area.
When a player commits a foul in his own penalty area (the one surrounding the goal that he is protecting), such as pushing an opponent, a penalty kick is awarded to the attacking team, unless advantage is played. In some places, very young players do not use penalty kicks, such as U-8 games in the United States, and sometimes all free kicks are indirect.
A direct free kick if handled outside the defender's penalty area. A penalty kick if handled inside the offender's penalty area. It can be considered misconduct also, under some circumstances.
A foul does not have to be near the ball. A foul must occur (1) by a player, (2) on the field of play, (3) against an opponent, and (4) while the ball is in play. If the foul you describe is by a defender, against an attacker, in the defender's penalty area then play is stopped and a penalty kick awarded. Depending on the severity, it could also be misconduct.
If the penalty was successful, then no goal is awarded and the kick is retaken. If the penalty was not successful, then no goal is awarded and an indirect free kick is awarded to the defense. They will not get a 2nd shot at the goal because their own player infringed.
When a foul, specifically a direct free kick offense, is committed by a defender, against an attacker, in the penalty area.
"Foul" is a term used to describe an offence punishable by a direct free kick. If a defender fouls an attacker in the defender's penalty area then a penalty kick is the prescribed restart. There's a loophole in your question. What if the attacker fouls the defender in the defender's penalty area? A direct free kick is awarded to the defense.
Yellow card: A caution issued for a less severe offense, serving as a warning to the player. Penalty kick: An indirect free kick from the penalty spot awarded for a major foul committed inside the penalty area. Red card: A player is sent off and ejected from the game for a serious offense, resulting in their team playing with one fewer player.
There are penalty kicks in soccer. A penalty kick is awarded when a defender commits a direct free kick offense while within his own penalty area.
You cannot score an own-goal directly from an indirect free kick or even a direct free kick. If the kick was taken from inside the kicker's penalty area and did not exit the penalty area before exiting the field, then the restart would be a rekick. If the kick was taken from outside kicker's penalty area or left the penalty area before exiting the field, then the restart would be a corner kick for the attacking team
A free kick is the result of a foul or an offsides. An indirect free kick means that the team taking the kick can only score if a teammate ON THEIR OWN TEAM touches the ball before it goes over the goal line. A direct free kick means that you may score without any of you teammates touching the ball. A Penalty kick is when a foul occurs in the goalie box. Its just the goalie and a shooter for a PK
If their team mate passed the ball deliberately, with their feet, and the goal keeper then touches it with their hands within their own penalty area, then an indirect free kick is awarded to the opponents at the place where the goal keeper handled it.