Machamp Solo?

Sure you may, put your Xatu (lol) in front of Dragonites.

depends on the charge move. I have better set up and failed once and got it once. Check out the breakpoints.
http://jop.space/powerUp/#!/?defender=MACHAMP&level=T3&attacker=ALAKAZAM&move=PSYCHO_CUT_FAST

Sorry, I don't think it's possible with these mons.
The Dragonites would perform better with Hurricane.
Also against Machamp, surviving is the key, so you will need all 6 mons. And you have to dodge some charge moves.
Maybe you can succeed if you bring another lvl 30 Exeggutor, ideally with C/P.

I recommend walking another high level eevee to create espeon. Dragonite with DT/OR is only viable when it is very high level (at least 35+ or like 33XX CP), otherwise you want hurricane.

It looks ok but i would put a Lugia with Extrasensory / Future Sight instead of Exeggutor

It really depends on your phone's lag and your ability to dodge. You should be able to do it.

If you Changed the Zam to an Espeon with psychic and added a third Espeon with psybeam that would be nearly identical to the team I used for my first Machamp solo vs C/DP (yes I used 7 and yes xatu got the win)

I only did my first Machamp today and it was Bullet Punch/ Close Combat.

I want to recommend my line-up to you, because I was surprised I didn't need to ower up another psychic for soloing (which might be because of the moveset.)

I used
Espeon C/Fs 2735 CP
Gengar Sc/ShB 2222CP
Exegguttor C/SoB 2746 CP
Exegguttor Ex/Psychic 2326 CP (terrible ivs)
Flareon FS/FT 2510CP
Dragonite DT/O 3205 CP

I was suprised about this myself, but it worked with 8 seconds left.

You should be right there for Close Combat Machamp. I’d suggest walking a high level Eevee for another Espeon and ditch Xatu. Ideally, Exeggutor should be replaced by another Espeon/Alakzam.