In terms of Power - No. Usb devices normally only take about 100 mA (max of .5 A) that equates to 0.5 W -> 2.5 W per device. For devices with higher power requirements (ie a 3 1/2 in HDD) the power is derived from a power pac (Brick).
You could put a "Drain" on performance, ie if you were to put 4 thumb drives on one hub and try to read/write to al four at the same time you would find them to be SLOW, this is a bandwidth issue and I dought you would be doing that.