Okay I am ready; I am posting my answer here;
Yes, the new dr you have mentioned above can prescribe Adderall for you
You have proper indication for this medication (add is a genuine indication for Adderall)
You can explain to the new dr why this medication is prescribed for you and also if possible you may arrange the medical records from your regular dr to reach the new dr’s office so that he will not have any issues with giving you a new prescription
All you need to do is to convince him that your regular dr is on vacation, you have a genuine indication for this medication (add), and you are running out of the prescription. And if your new dr is convinced about these points then there should not be any issues for prescribing you Adderall xr until your regular dr returns.
A dr to prescribe Adderall need not be your primary care dr, any properly licensed allopathic dr with active DEA registration can prescribe you controlled meds like Adderall provided the dr is convinced that you have genuine indication for this med (add in your case), so you can certainly contact the new dr you have mentioned and ask for Adderall prescription until your regular dr resumes her clinic from vacation.
Please let me know if you have any further questions; and please click a positive rating (preferably 5 Star/Excellent) to credit for the time & effort put by me in answering your health question, and this is the only way I will be credited for my service to you. If you have follow-up or additional questions you can ask them after the rating too.