Yes! You are welcome to apply to both the Disney College Program and Disney Professional Internships. However, if you are offered both, you will need to choose one opportunity to accept.
What happens if I receive a Disney College Program offer first?
If you accept a Disney College Program offer and later receive an offer for a Disney Professional Internship (or another role within The Walt Disney Company) before your program start date, the Disney Programs team will support you in accepting that new opportunity.
Should this happen, please submit a request on the Support Site for assistance.
Best of luck in your application process!