Combine water and 2 teaspoons salt in a large pot; cover and bring to a boil. Add spaghetti; cook, stirring occasionally, until pasta is tender yet firm to the bite, about 7 minutes. Drain.

Heat olive oil in a skillet over high heat; cook and stir bacon until browned, 3 to 5 minutes. Add corn and cook for 1 minute. Pour in heavy cream and bring to a simmer; season with salt and pepper.

Mix drained pasta into cream mixture; cook and stir for 2 minutes. Transfer pasta mixture to bowls and top with pea shoots.