Yes it is possible to automatically accept order in Tiller, but you will need to activate this setting in the tablet of Tiller.
You will need the latest version (Version 3.11.10) for this.
Please follow these steps:
Go to your back office > Modules > Order sending configuration > "Automatic acceptance of delivery / click&collect" module.
In this way, as soon as a new order arrives at Tiller, it will be automatically accepted, the kitchen ticket will be automatically printed and the order will go directly to the "in progress" orders.