The answer is yes as long as you use the right size wire nut for the size of the wires that you are splicing. One of the duplex switches had a hot wire going to the panel and was attached to the switch at one of two screws on one side that were connected to each other presumably powering both toggles and two load wires going to their respective destinations.
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Can you connect two hot wires together. The circuit breaker box has 2 110 volt lines. Connecting two live wires in such a way to the switch will do nothing if both live wires are from the same source as no current will flow as they should both possess the same potential measured in volts an electrical current flows between points of different potentials but if the live wires are from different sources then likely cause damage or even an explosion somewhere in the circuit as you could created what is called a short circuit between the two different sources. To twist two wires together you first need to strip the insulation off the wires. Wiring to the circuit breakers is 220 volts. The easiest way to see which one goes to which breaker is probably to undo the wire nut flip breakers off and use an electrical tester to see which breaker cuts the power in which wire. If the these two black wires are.
If you connect two black lines together from one side nothing happens. Can you connect two hot wires together. Next hold the wires side by side and twist them together with your thumb and forefinger. In all the methods described except for the crimping method and the alligator clip method you will need to start with the wires twisted together. If you know what youre doing yes. We do it with batteries.
In order to connect two wires to an individual breaker you must make the connection in an electrical junction box outside of the distribution panel as shown in figure 3. It sounds like if indeed you have hot wires from two different branch circuits connected together they are on the same leg same buss bar. If its dc you may be doing it to increase amperage. But its not as simple as just connecting them. What are you trying to do.