Getting a cheap strat, can i change the neck profile?!?

[Swirly]

Hiya. I currently have a rg570 which is great, but it needs a setup and pickup change, and all music shops around my area said around 2 weeks for a setup!!.
Now, i cant wait that long without playing, so im going to buy a real cheap back up guitar. I was thinking just a cheap squire, or strat copy from **** as ive seen them for around 40 quid on there.

I plan to just use it as a backup guitar, and somthing to mess around with (if i feel like re-painting it etc) rather than ruining my RG.

The only thing is though, i wish that the neck was just a bit thinner. As im used to my RG, i would personally love somthing in the middle of that and a strat neck.

This brings me onto my main point. Is i possible to give a neck, in this case a strat one, a different profile. Is there some way i can sand it down, or use some technique to give it a slightly thinner profile and width?