Hi Noelle, of course you can have your celebrations when you choose to at Walt Disney World. Disney is an exciting and wonderful place where Castmembers actually want to help you celebrate your special occasion (no matter what it is) and want to help make them special.
Please keep in mind that dining reservations, especially for character dining fills up very quickly. I suggest you make an Advance Dining Reservation by calling 407-WDW-DINE. They start taking reservations up to 180 days prior to your stay. Make sure to mention what you are celebrating for special attention.
If you would like to have a birthday cake delivered to your table, most table service restaurants have smaller cakes readily available. Make sure to request it when you check in for your reservation. You can also have a custom cake made if that's the way you want to go. You can call 407-827-2253. They can offer suggestions for personalizing the cake..they are beautiful.
Also, don't forget to go to Guest Services at whichever Park you are in that day and ask for birthday buttons. They are complimentary and the person wearing it will get happy birthday wishes from all of the Castmembers throughout the Park. For other ideas please visit,
www.waltdisneyworld.com and type "birthday celebrations" in your Search engine. You'll be surprised at how much is offered for you to take advantage of.
Hoping you have a wonderful birthday celebration with lots of magical memory making!