Is it okay to get both upper and lower wisdom tooth extracted in one go/sitting?

If one is healthy and not medically compromised, than yes. If one is anxious, afraid of much pain, and can't miss work and worried abut complications, than do only one part of mouth at a time. If the surgeon says the lowers are impacted and need bone surgery than do only quadrant at a time.

That's done quite often. No worries.

A decision to be m Ade by the Oral Surgeon based on his 4 years of Dental School, 5 years of Residency trainings lifetime experience, Months of accumulated post-graduate training, and a thorough pre-surgical examination. As long as you do not have medical conditions ,addictions, or history of drug or alcohol abuse that has gone unreported, your Oral Surgeons the best source of information.