If the work is yours and yours alone then you can do with it what you like.
However, a better question might be whether it would be wise to cut out your advisor. If you want to build a future for yourself in academia you should try to build bridges to your advisor, not blow them up. This is a political issue, not necessarily one of fairness.
But, your advisor should have more experience in these things than you do, so their opinion might actually be valid.
Also, if your work isn't yours alone, but was done in concert with others, including your advisor, then you actually need to come to a joint understanding in order to publish it without breaking ethical norms.
The answer to can I do this and should I do this aren't necessarily the same. Take a long view before you decide.