Yes, definitely. You are lucky, Nemesis, to have such an unusual plant in your garden.
Different broomrape species parasitise different plants, so if you can work out what it's growing on it will be a good clue to its species. The broomrape should have underground tubers attached to the roots of its host plant. Some of the broomrapes are quite rare, so if you need to disturb it you might want to wait till it's had a chance to set seed. As it seems to be in quite a shady position, I wonder if it's an ivy broomrape. Is there any ivy growing in that area too?