It's feasible and responsible in some circumstances (e.g., you are comfortable with savings, then your income collapses and you have no near term prospects, but you have a working vehicle, a destination with better prospects, and savings to cover costs during the move and in the gal between relocation and securing a job or at least establishing local benefit eligibility. (Or, in place of savings, softer assets like a social network that includes people willing to provide short term assistance in the destination location, either in cash or in kind, such as a place to stay.)

If you are working but food insecure without savings or such alternative support assets, then even if the long-term prospects are better in the destination, it may not be l feasible or, even if feasible, responsible because of the transition costs.

You can't make up for starvation today with better long-term prospects.