Can I connect 10 AWG wire carrying up to 25 amps to 10 parallel 1 ohm 10 watt resistors?
There are several methods that can be used to connect your load resistors to your lead wires.

If this were me, I would simply strip about 6 inches of insulation from your 10 AWG conductors.  Stretch them straight and temporarily fasten the wires to a board.  Space the wires apart far enough that the leads from the resistors overhang the wires about 1/4" on each end of the resistors.

Now simply wrap the resistor lead one full turn around the 10 AWG conductor.  Do one resistor right next to where the wire insulation starts.  Get the resistor straight, then solder the resistor wire to the 10 AWG conductor.

You will need either a decent soldering iron or a soldering gun to properly make the solder connection.

Now space the remaining resistors along the bare conductors.  When you are happy with the spacing, repeat the above process.

You can then remove the wires and resistors from the board. Hang the 10 AWG wires with resistors in the air and do your testing.

But there are other methods that work equally as well.  You can get punched copper strip (looks like muffler strapping but made of copper) and mount that on wooden spacer blocks.  Then wrap the resistor leads around screws that go through the holes in the copper strap into the wood blocks.

Whatever technique that you use, ensure that the resistors are able to have air flow around them for cooling.