Hi Chantal!
It sounds like you will be bringing some little princesses to a Walt Disney World vacation soon. Every little girl loves to get pampered and dressed up at the
Bibbidi Bobbidi Boutique. The Disney Springs location has a beautiful set up and it is about an 8-10 minute walk from the Lime Parking garage. Each appointment takes 30-60 minutes depending on the package you have chosen. They certainly try to keep on schedule but things can happen.
To reach Epcot for your
Akershus Royal Banquet Hall dining reservation is going to be difficult no matter what type of transportation you use. So much depends on traffic, weather, and time of day and year. The drive itself from Disney Springs parking garage to Epcot parking is about 10-15 minutes. Consider paying extra for the Preferred Parking which would put you up as close as possible to the entrance.
Once you arrive you will have to endure the security lines which are long (10 minutes or so) due to crowds entering the park. Then you again wait in the entrance queues that take a few more minutes. Once inside you will have an 8 minute walk (speed walking) to the Norway Pavilion.
Driving is your best bet but you likely will not make it in time for your reservation at 10:55 especially if your appointment at the Boutique is an hour long. Just adding up the approximate times above you will see it is close to an hour and that is if everything goes smoothly. I suggest you call the Boutique to see if they can reschedule your appointment or choose a look that will only take 30 minutes which gives you a better chance of making it to Epcot on time. Let them know your dilemma and see if they can work with you so that your princess can enjoy both wonderful experiences.