Connecting E-paper display (GD) to Arduino?
E-ink displays require high voltages to operate them. They are electrostatic devices and the pixels need charging up to a high voltage (high compared to what an Arduino runs at) to attract the pigment powder (basically the same as laser printer toner) to create an image.

While it is possible to make your own board it's not something that is simple and straight forward. Designing boost converters requires a certain base level of knowledge and expertise to get it right. Not something I would recommend a beginner attempting.

Even though a display may have the same pin number as another it doesn't follow that the pins are in the same order on the connector. There is no standard and each display from different manufacturers (and even different displays from the same manufacturer) will have a different pin-out. You will need to compare the datasheets for the two displays to see if the pin-out is the same and if it isn't you would have to somehow map from one to the other on the driver board.

The simplest option is to just order the correct driver board for that display.

(Note: in this context it is called a driver board not a breakout board. A breakout board is typically a passive circuit board that converts from one hard-to-use connector or footprint to a simpler, say 0.1", header. A driver board contains active electronics, in this case a boost converter, to drive the device it is connected to.)