Yes, but it may be a little soon. I wouldn’t have considered travelling within the first 12 months of my condition.
Search can be your friend: take a look at the posts in Exercise, Lifestyle & Travel 
. There are lots of positive stories. e.g. specifically Flight Journey with MAV but usually people are a bit further into their MAV journey before attempting bigger trips.
For smaller, necessary, commutes you are just simply going to have to battle through it.
However, this is a judgement call.
You very much need to get the nausea mostly under control. Discuss a stronger vestibular suppressant like Amitriptyline with your physician if your current drug isn’t controlling that enough.
I would start by making sure you are getting out of the house daily for walks because that will improve your chances of getting better and get you more used to symptoms on the go.
In terms of managing your expectations - this chronic condition can last years and it’s quite normal to feel pretty rotten for over a year at the beginning, even on medication. That’s a reality you will have to accept and steel yourself for. You have to be determined to get through it because there is light at the end of the tunnel.
That said, sounds like you need to completely re-evaluate your current medication, because the right medication should make a significant difference within 3 months (but do not expect to be cured and do not expect to be symptom free). Getting truly better, however, takes years, not months. But people make huge strides much sooner.