How to transfer from two different schools?

Hi, I am a student at one university. I took some classes there this year but want to transfer to a different university. I took some dual credit classes in high school through my local community college and transferred them to my current school. However, from my current school to the new school, they don't transfer. But from my local community college to the new school, they do. Am I able to submit both transcripts separately? My current schools transcript reflects the transfer credits.