First of all....Welcome to the Cisco Learning Network!
I understand you want to take the CCNA Security exam without renewing your CCNA R&S.
Yes, you can. But keep in mind that you will not be Officially CCNA Security certified if you don't meet the prerequisite of having at least the CCENT certification. As you can read below:
You can confirm the information above at the tab of "Prequisites & Exams" at the following link: Security (CCNA Security)
I wish you all the best in your Cisco certification journey.
In case you need study resources, you can check out the FREE CCNA Security information available here at the Cisco Learning Network at the following information links:
Also you can check out the FREE training videos at the following link: CCNA Security Training Videos