If you do some more research, look for "skin effect" when it comes to RF.
Start here...
en.wikipedia.org
Now, remember you're posting in a CB-radio/Antenna/Shortwave related set of forums, so we can only presume you want to work with the 11 meter frequency (or any specific pre-set length of band) and not much else.
Bandtraps can use the effects listed above along with your idea to make longer antennas resonate - but also with the extensions those shorter lengths can provide the traps to resonate on the other bands of interest.
So, when you look at the material, you have your wire and the medium to connect a longer length to it.
Ok, both physical connection per the surface to surface and the wetting agent - the solder - will and does affect performance.
Both options are adding length using solder - best not to when it comes to CONTINUOUS skin effect of radiator - so your antenna side will need full 1/4 or tunable coil and whip combo that can be "setscrewed" in the physical and the coil and wire length added are both physical and metallurgically affixed.
Yes, it's possible, else base loaded coil antenna loading wouldn't work, yet they do - they are not as effective as a continuous length of wire - but again, those losses are also inclusive with the mount, it's quality of alloys used and types so they bond electrically well and are offering some Skin effect reactance as would the base metal (Cu) - similar metals do better than to just "twist and solder" - might want to clamp them together.