In theory, yes. If there are perfect** (and mutually exclusive) substitutes, and exactly the same amount of money is spent on those substitutes (and individuals would not have spent that money otherwise), then GDP could remain constant.However, even for extremely simple goods, this is unlikely.
However, the question asks how the events are likely to affect GDP. In practice, there are relatively few true perfect substitutes. If people can't go to Disney world, some may opt for less expensive alternatives, like watching a movie. Another consideration is whether or not Disney is obligated to pay staff during the time (probably not, so now there are people who are making less money and buying fewer things), Disney isn't purchasing food stocks and cute teddy bears for its canteens and games, and a host of other effects. The point is, it is most likely to push GDP down.
In this case, I would say the question kind of implies "all else held constant". The key learning outcome here is "When there is a shock, and firms are forced to cease production temporarily, this negatively impacts GDP." This is the basic principal for first year econ. In later years, you will get into general equilibrium, which deals more with the side-effects of such shocks and aggregate micro-decisions.
** Edit: It is technically not strictly necessary for them to be perfect substitutes (see comments below). But in practice (and in the spirit of the first-year level question), shutting down a whole firm/industry will push GDP down. People are choosing between consumption and savings when deciding how to spend their money, between labor and leisure when deciding how to make their money, and taking away a large source of consumption-based utility is likely to ultimately shift choices away from consumption and towards savings and leisure both of which push down GDP in the current period, though savings generally increases it for t+1 (I am not going to get into trade-deficit effects here). But that is a more complex analysis that isn't really the point of the thought exercise in this particular case. Key learning: External shocks that reduce production generally reduce GDP, all else held constant.