Can i Use Test complete Without using Test Execute ? to run tests through jenkins

You can keep using TestExecute until you run into a reason to have to update your license

https://support.smartbear.com/testexecute/docs/licensing/renewing/when-you-need-to-renew-license.html

Here's a reference for running TestComplete from the command line

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

Be careful to not upgrade your TestComplete past the version that matches your TestExecute.  One of the things that will be limited on your TestExecute is upgrading.