Commercial attachments are available that mount onto a hand drill and provide a stable base and guide system.

Purchase a portable drill guide or drill stand attachment compatible with your hand drill.
Mount your drill securely into the guide according to its instructions.
Place the guide's base flat on the work surface over the drilling point.
Operate the drill. The guide mechanism ensures the drill plunges straight down perpendicularly.

N/A - Offers drill-press-like accuracy with a hand drill, ideal for tasks requiring precise angles.

Use a Portable Drill Guide Attachment