Connecting multiple component's VCC wires to one Arduino UNO R3 5V Pin
Assuming you have suitable soldering skill, there are some considerations when you solder lots of wires to one header:


Lots of wires means lots of weight. The strain of several wires may degrade your connection or header over time, especially for a wearable system, where I assume the parts would be subject to some movement.
The width of the connection when all the wires are soldered to it. It might touch adjacent pins, or lean on them, creating mechanical stress. Heatshrink or sleeving can help with the electrical contact issue, but won't remove the mechanical risk.
Lots of wires soldered to one point may make the system more difficult to service. Instead of desoldering the wire to one component, you have to either desolder them all, or cut the wire to the one suspect component and then solder together wire stubs later to replace it.


When referring specifically to power supply pins, you'll need to consider the peak current requirements of anything you power from it. Based on https://playground.arduino.cc/Main/ArduinoPinCurrentLimitations it seems like you shouldn't be pulling more than 200mA from the Vcc PIN. Check the maximum current draw of all of your components that you want to power, add them together, and make sure it's under the limit of the Arduino board.