Yes, you can!
There is no better place in the Americas to observe exotic wildlife in its natural habitat than Costa Rica. Enjoy world class birdwatching in cloud forest, rainforest or mangroves. Visit Corcovado or Tortuguero for a chance to see endangered animals such as monkeys, sloths, wild cats including jaguar, tapirs, and much, much more. Stop by Manuel Antonio, Cahuita or Gandoca Manzanillo for gorgeous beaches and extraordinary wildlife. There are some fully customizable Costa Rica nature vacations that include the best ecolodges, nature guides and transportation so you can experience the best Costa Rica has to offer.
There are many companies offering to take you on a wildlife safari (you can even go on a real African safari if you want!) of various price range. Costa Rica is covered in national parks and rainforests – you can always find something that suits your interests best. Many of the safari trips last several days and, as most things in the country, cost quite a lot.