Can I get request via REST API by custom parameter?

By Subject, for example.

I have tried to use INPUT_DATA option in request but it doesn't work.

Like that: 

INPUT_DATA='<Details><parameter><name>from</name><value>0</value></parameter><parameter><name>limit</name><value>1</value></parameter><parameter><name>subject</name><value>Example Request Subject</value></parameter><parameter><name>filterby</name><value>All_Requests</value></parameter></Details>'

Is there the ability to do that kind of request or it's not supported?

Thank you.