Doesn't sound like something a native nor non-native English speaker would write.
https://trends.google.com/trends/explore?date=all&geo=US&q=m...
It's a good phrase that describes when someone really knows their car and can just tell how its "feeling".
Based on those definitions, mechanical empathy seems more correct. It describes the ability to understand and intuitively sense how machines or mechanical systems work, almost like understanding.