Is it possible that hospital surgeon remove anal lumps that are bleeding, causing anxiety?

To answer this : Question- you would actually need to consult with a general surgeon or an anorectal surgeon. The cause of the lump, the size of the lump and the impact on function are some issues which may be explored. If there is continued bleeding this may be an indication for surgical intervention.

Yes: You are probably speaking about hemorrhoids. A surgeon can evaluate the exact cause and determine if surgery is needed or the issue can be treated conservatively.