You should too. Assuming, that is, if you can. Some state federations don't allow them in track or cross-country so consult with your coach before buying a pair. But if you're interested in wearing them, read on. Here are some things you should consider when making your racing-shoe selection.
Different spikes are for different races.
Cross-country spikes can be different than track spikes in several ways. Cross-country spikes have more forefoot cushioning and rubber covering the spike plate than track spikes. To determine which one is best for you, consult with your coach who can advise you on the best one for the type of courses you're likely to race on. If you ran track in the spring and wore spikes, try the same ones on in cross-country practice to see if they still fit. If they do, you might find them OK for cross-country too.