Hi, Brianna! First, while I am not a single mom, I have taken many solo trips to Walt Disney World theme parks with my girls. Second, you're a mom - that means you have strength some people will never understand. Of course you can do this!
Tackling
Walt Disney World with preschoolers can be a lot of fun. Your 2 year old is free at the theme parks, and you can even prepare a plate at the buffet for a child that young at no additional cost. That makes
Disney character dining a more affordable option. I loved character meals with my kids because we didn't wait in line to see characters, who come right to your table, and I could sneak pictures of a kid with a character without them knowing it. My oldest was scared of the characters, but I have photos of Tigger standing behind her or Goofy crouching down just out of her view so that I had both character and kid in a picture without the terrified tears. My other kids were crazy for the characters, and character dining gave them an extra minute or two for hugs and pictures.
There are also many attractions you'll be able to enjoy with your little one.
Dumbo the Flying Elephant is classic for kids, but I took my kids on everything they were tall enough to go on. Pirates of the Caribbean, Haunted Mansion, Kilimanjaro Safari - there really are a bunch of things you can enjoy together.
Plan down time. Attractions like
Disney & Pixar Short Film Festival at Epcot give you a cool place with quiet entertainment.
Drive carefully, and make sure you stop often to stretch those little legs.