Yes, there can be DNA replication without involvement of cell division in a cell and one such condition existential is called as 'Polyteny'. Polyteny basically occurs because of failure of separation of replicated strands of DNA repeatedly. This failure results in formation of 'Giant Chromosomes' which can contain up to 1000 parallel attached chromatids in conspicuous pattern .Polyteny can be easily observed in Order Diptera of Class Insecta of Phylum Arthropoda (eg- Drosophila Salivary glands).