Hi Kevin. Yes, you can increase the brightness of your HDR backdrop by going into the rendering technique options in the Physically Based rendering technique and increasing the value of daytime or nighttime backdrop intensity (daytime for when the sun is turned on and nighttime for when it is off).
The backdrop is used for lighting calculations in PBR, acting as emissive by default. Other rendering techniques do not support an emissive backdrop.
Rene is correct here. The backdrop intensity is the only setting directly applied to backdrop lighting. In PBR with automatic exposure, turning up the brightness of the backdrop may not appear to make much of a difference in the lighting of the scene. This is because the perceived brightness of lights is relative to the brightness of other lights in how it is displayed on screen. For example, a room with a lamp might appear dark when viewed from outside, but then when moving the camera into the room, it appears to light up and the lamp seems much brighter. (The exposure adjusts automatically when entering a darker space). Similarly, the brightness of the sun or other light sources relative to your backdrop intensity will impact how much light seems to be coming from the backdrop. Therefore, turning the sun brightness down will make the backdrop seem brighter. If you want to get the most from your HDR backdrop, you can turn on the "Use Only Backdrop For Lighting" setting in the rendering technique options, which will essentially set the brightness of the sun to zero, so the majority of the light in the scene will come from the backdrop and it will appear brighter.