Will I receive an interference pattern on D0 detector https://en.wikipedia.org/wiki/Delayed-choice_quantum_eraser#The_experiment_of_Kim_et_al._(1999) if D1, D2, D3, D4 exist in the set up of the experiment, but they are thousands of light years far? Simply, to set up the experiment so that I detect all of the signal photons on D0 before I detect any of idler photons!
The interference patterns in the delayed-choice quantum eraser experiment are only ever observed via post-selection: using the notation from Wikipedia, the $D_0$ detector will detect a formless blob, which will only resolve into complementary interference patterns once you post-select on detections by $D_1$ and $D_2$ (as opposed to detections by $D_3$ and $D_4$).
As such, the interference patterns can be argued to be "implicit" in the data you've taken, but they can only be revealed once you receive the data from what was measured on the other side. Since you specified that the two sides of the experiments are thousands of light-years apart, this means that you will need to wait for several thousand years after measuring on $D_0$ before you can tease apart the constituent interference patterns in your data.