You can easily export your manga library from Comick as a CSV file and then import it into MangaTime.
Here’s how to do it step-by-step:
Open comick.dev and log in to your account
Tap your profile icon in the top-right corner of the screen
Select Settings from the tabs at the top

Once you’re on settings page, tap on Export

Choose to Export as CSV

The CSV file containing your manga list will be downloaded automatically
Go back to MangaTime
Open the Profile tab using the bottom navigation bar
Open up the Settings page by tapping on the gear icon in the top right corner
Press on Import from Comick
Tap on Select CSV File and pick the downloaded file from your downloads
Then press on Start Import, wait a few seconds (based on how big your library is) and TADAAA 🎉