1.括号内的there可以省略

是的，你的句子中的 there 放在括号内是表示可以省略。

我们知道，there stands…句式可视为 there be…句式的变体，意思“在……站着或耸立着……”。如：

There stood a tired child in the street corner. 街角处站着一个疲惫的孩子。

There stood a man at the door with his hat in his hand. 门口站着一个人，手里拿着帽子。

There stood a great round tower of ancient construction in the courtyard. 院里有一座高大圆形的古塔。

There stood a tall, elegantly dressed man in the doorway. 门廊里站着一位个子高大、穿着考究的男人。

2.省略there的前提是地点状语前置

上面的句子有个特点，就是句中带有明确的地点状语，这类句子如果将地点状语移到句首，此时则通常省略there（省略there后就是大家所熟悉的完全倒装句），如上面的句子也可以写成：

In the street corner (there) stood a tired child. 街角处站着一个疲惫的孩子。

At the door (there) stood a man with his hat in his hand. 门口站着一个人，手里拿着帽子。

In the doorway (there) stood a tall, elegantly dressed man. 门廊里站着一位个子高大、穿着考究的男人。

In the courtyard (there) stood a great round tower of ancient construction. 院里有一座高大圆形的古塔。

但是，如果句子没有地点状语（或者即使有地点状语，但没有将地点状语前置于句首），则不可以省略 there。比较并体会：

正：There stood a man with a gun (in the doorway).——there不可以省略

正：In the doorway (there) stood a man with a gun.——there可以省略

误：Stood a man with a gun (in the doorway).——省略there即为错误