Will my Duplicator i3 be able to print this hole in the vertical wall without infill?
The answer is yes. However I notice that some knowledge is missing due your comments. 

The walls of the part is formed by 1 or several lines, this lines are called shell.

The Infill is the part that fills all within the walls or shell; you can set the infill by 5% to 100% depending in how strong you need the printed part or set 0 to get an empty shell.

The printer can be able to print any part, but some areas will need supports, this suports is a kind of outerfill to support areas that could overhang basically walls with 45 degrees or less, this support can be easily removed from the final part