I am a US Citizen currently living in the EU with my EU Citizen wife but may have a job offer in the UK. Is it possible to accept that job offer if I am not currently living in the UK with a UK Residence permit? From my understanding it would not be a problem for me to work in the UK if my wife received a job offer or was a job seeker living in the UK. Is it possible for me to accept that job offer and if so what would the process be?
I don't see why you could not accept the offer. Whether your wife moves there first and you are joining her, you have a job lined up from the start or you find a job after entering the UK, your rights as the spouse of an EU citizen and the procedure to follow are, for the time being, more-or-less the same.
For you to be able to use that route however your wife must (come to) live in the UK with you. Otherwise, your status would be completely different. And if your wife does not work at all, there are some restrictions (see e.g. Options for EU person to move to Spain without a having secured apriori a job).