Is it possible to run Test Item with Parameters from command line (TestExecute)

Not specifically the way you are wanting, but you can write something to figure out what command line parameters Test Execute is launched with: 

https://support.smartbear.com/testcomplete/docs/working-with/automating/command-line-and-exit-codes/command-line.html

function CommandLineArgs()
{
  var i;
  var nArgs = BuiltIn.ParamCount();
  Log.Message("Total number of command-line arguments: " + nArgs);
  Log.Message("The fully-qualified name of the TestComplete executable: " + BuiltIn.ParamStr(0));

  for (i = 1; i <= nArgs ; i++)
    Log.Message("Arg " + i + ": " + BuiltIn.ParamStr(i));
}

I don't really like this method myself, so what we do is create a text file with a json string in it to configure environments.

In jenkins you can echo the string to your workspace root with a windows batch command:

echo { "param1" : "%<jenkinsParam1%>, "param2" : "%<jenkinsParam2%> "} > envConfig.json

Then use an on start test event handler to read that info in and parse it to and object. 

JSON.parse(aqFile.ReadWholeTextFile(filePath, aqFile.ctUTF8));

Set that to a project variable and then you can call properties off of the object like you would anything else.

Either way works, I find there are is a lot more room for configuration with the config file approach though and is much easier to maintain / extend.