क्या मैं अपनी डाउनलोड सूची IDM से ला सकता हूँ?

Yes. In IDM, export your list with Tasks → Export → To IDM export file. In GDM, choose Tasks → Import → From IDM export file and pick that .ef2 file: every download comes over with its address, referrer and cookies. A plain text file of links works too. See Adding downloads.