It is possible, though obviously not ideal. Do you all work the same hours? If not then what is the overlap? Can you work from home? In addition to the dog walker do you have family or friends willing to have the dog for a few hours each day?
We got a labrador puppy when I was still a SAHM to a toddler. I didn't end up going back to work until my youngest started secondary school. I then worked locally, and mornings only, working from home for six months of the year, so it has worked for us (DH has always worked full time).
We still have a cocker spaniel (labrador sadly died last November, aged 15). I still work only mornings, and only have to go into the office for two of those each week.
They thrive much better with regular company, so it needs good planning. They shouldn't be left alone for hours on end.
I am glad you are looking closely into it before getting a dog. Please consider all angles very carefully. Some of what people are saying here may sound brutal, but does need to be taken into account because a dog is a very big commitment, both in terms of the time you need to devote to them and in terms of finances. Food, vet bills, vaccinations, insurance, dog walkers, trainers, boarding kennels if you need to go away.
Very rewarding though. I had my labrador for just over 15 years, from the day he turned 8 weeks old. He was my greatest friend and I miss him terribly. I am so glad I shared those years with him.