Yes, emotional intelligence can be developed and improved with consistent effort. Here are some tips that will help.you.

Improving your emotional well-being starts with recognizing and transforming negative thoughts into constructive ones. Focus on building meaningful connections with people who share your interests, as strong relationships can greatly enhance your emotional health. Take time to practice gratitude, appreciating both your own efforts and the positive aspects of your life. Showing kindness and appreciation toward others can also make a significant difference. If you find it difficult to manage or improve your emotional state on your own, seeking professional guidance can provide you with valuable tools and support.

Of course there are many! 

(Psychological tests)

BDI , perceived stress scale, BAI , Emotional Quotient Inventory,Social-Emotional Intelligence Profile (SEIP).

Other than these test you can also find some more similar tests on google. (Mind Tools Emotional Intelligence Quiz, Greater Good Emotional Intelligence Quiz, Verywell Mind Emotional Intelligence Quiz, Daniel Goleman Emotional Intelligence Test)