Is there any option if we can set the url https://project.microsoft.com/ to other environment

Hi Priya_elangovan 

When you deploy Project to a Production environment (ie non-default Power Platform environment) it really becomes a Power Platform application with Project for the web rather than just the project for the web service running from project.microsoft.com.  As Paul mentions in his reply, links to all projects accessible to the user will be available from project.microsoft.com, but navigation and experience differers, you click on a project in the default environment it will open the schedule in project.microsoft.com, if you open a project in a production environment it will take you to the power platform application.

To create easiser navigation to your production project environement there are, as always with Microsoft, options...here are a couple I use:

1. Instruct users to 'Pin' the environment to there waffle (from the M365 waffle, expand to show all apps, at the bottom you should see Business Applications (which will include your Project Production environment if it has been recently accessed)). Great article explaining this process is https://jukkaniiranen.com/2021/05/making-model-driven-power-apps-visible-and-hidden/.
2. If there is a Team where you would like people to access and update Project information you can https://docs.microsoft.com/en-us/power-apps/teams/embed-model-driven-teams-tab

Both of these options can really  help with the overall user experience.