CCNA, CCDA, CCNP, CCDP, CCIP, CCVP and CCIE
Yes. However you have to remember this: You can pass all the required test for the CCDP track, but you will not get the certification until you receive the CCDA first - CCDA is a prerequisite for the CCDP. So if you passed all the tests for CCDP and then took the exam for the CCDA, you would actually get both a CCDA and CCDP at the same time. The first 2 test for the CCDP are BSCI (642-901) and BCMSN (642-812). It just so happens that these tests are also the first 2 of the CCNP track. Passing either one of those will renew your CCNA. Also if you passed both BSCI and BCMSN you have 2 options at that point:1. Take the remaining two exams for the CCNP track, ISCW and ONT exams. That will give you a CCNP2. Take the CCDA (640-863) test to give you your CCDA. Then all you would need to do is take the ARCH (642-873) exam and that will give you a CCDP.
From what you told me your interested it, that is what I would do if I were in your shoes. If you have the BSCI and BSMSN passed by the time you get a job, it can dictate what path you should choose. If you get a job working with designing networks more, CCDP would be the path to go for. If your configuring and troubleshooting routing and switching more, then CCNP would be more beneficial.