No, each online ticket is only valid for ONE single crossing of the bridge.
Multiple e-vignettes have to be purchased when planning multiple crossings.
Related articles:
How long is the Øresund Bridge e-vignette valid?
Does the Øresund Bridge toll pass activate immediately?
How is the Øresund Bridge e-vignette checked?
What happens if I drive without an Øresund Bridge e-vignette?
What different online tickets are available for the Øresund Bridge?