A lot of people use the time to let the new bunny settle into the house and get comfortable in their home, and with you their new slave! so yes you could do this.
It also means you will have time for prebonding. This is where the rabbits get used to the idea of another rabbit sharing in the territory, without any physical contact.
During prebonding you can swap toys and even cages to help the rabbits get used to the others scent.
The rabbits have time to adjust to each other and it’s generally believed that this step really enhances the chance of bonding going smoothly, with lots of people spending about a month plus at this stage. (again they have no physical contact, but can see and smell each other, and it gives them a chance to mingle their smells)
My only warning is to make sure noone is getting over anxious about the other.
My girl got “cage rage”-which is where the strange rabbit they can’t find/touch drives them mad, and they can lash out when the do meet the other rabbit.
This seems to be really rare and unusual though so i doubt it’ll be an issue, more just a heads up!