Methylphenidate interacts with many common drugs, including vasopressors (medications that raise blood pressure), blood thinners, anti-seizure drugs and SSRI antidepressants.
Source:
https://www.drugwatch.com/drugs/methylphenidate/interactions/#:~:text=Methylphenidate%20interacts%20with%20many%20common,Avoid%20taking%20methylphenidate%20with%20MAOIs.

There is no direct contraindication between these two medications; however, there can be secondary contraindications depending upon what you're taking the blood thinner for. What is the Eliquis prescribed for?