Yes, you can import data as many time as you want. Each time Yodiz creates a separate new project. Yodiz Project name will be same as in Jira, but Yodiz Project key will be different.
Each time, you need to repeat the same process to import data from Jira to Yodiz.

Detailed instructions explained here: Import Jira Data in Yodiz. You can also use Zapier to import data in Yodiz from hundreds of other tools.