Can I have two surgeries at the same time but with two different doctors?

Yes, it is possible to have 2 procedures done by 2 different surgeons at the same time under one anesthetic. Its best to allow plenty of time for each surgeon's office to be able to schedule a time that  it is mutually convenient for both surgeons and nursing personnel. If they were to be performed separately, one month of time in between surgical  procedures would be acceptable.

Why not have one do both procedures. If they both can do it at the same time, then I do not see a specific problem. If you have one do it one day, then you may want to heal first before having the other performed.

Surgeons will usually collaborate for the patient so that both procedures can be performed simultaneously. This is obviously at the surgeons discretion after performing a full evaluation on you and determining that you are a candidate for both procedures. Make sure you clarify this with both surgeons so everyone can be on the same page and coordinate your surgery so as to create a pleasant experience for you. Best of luck.