Yes you can! You can go in as a "college programmer," paying your own way. You will not get a stipend or be able to participate in the summer cruise. However, you will be able to apply for a 3 1/2 year scholarship during your freshman year. Work hard in school and your unit, and you may very well get the scholarship, with the officers of the unit helping you.
But, don't lose hope about getting the transfer! Call the recruiter of the unit where you want to go and let him/her know how serious you are able wanting to transfer your scholarship. As slots open up, you may get the scholarship transferred!
This is what my son did and he got an email in early May, asking if he still wanted to transfer his scholarship. I had to make a deposit at both schools he was accepted to; but, it was worth it. I lost the deposit of one school, but he got a full ride in the school he is now attending.
Be patient, but persistent! Good luck!