Absolutely! Teeth that have had root canal therapy completed are no different to move than others. In fact, Invisalign may be the best way to go for your teeth as it seems from the limited photos that you may have moderate crowding which Iinvisalign will be a great fit for you!
Braces or Invisalign would be ideal to correct the alignment (crooked teeth), but you should be sure the "grey" tooth doesn't need a root canal first (then the dentist or endodontist can bleach the tooth from the inside). If it doesn't require internal bleaching then you could have a veneer made for the "grey tooth" but after braces/Invisalign so it is made according to your best alignment.