Passing parmeters through REST apit to a teamcity build

Scenario:

• I have 2 powershell scripts, Script1 and Script2.
• Script1 runs on the client machine and Script2 will run on teamcity, a build is configured to run Script2
• Script 2 expects some parameters which it needs to run. These parameters would be supplied by user when he runs Script1 on his machine.

Questions

• Can i get the parmeters supplied by user when running script1 and pass that to TC build which is configured to run script2.

Thanks!