The short answer is 'no'. The IP feature you are looking for is the Source Route Option. It is used to determine how a packet is routed at the sender instead of in the network. Because of all the problems that using that option can cause (almost?) nobody will accept and/or honour it.
Routing policy decisions are made inside an AS (=Autonomous System). If you only connect to one ISP then that is where you route your traffic. Once you send your traffic to them it's up to them to decide where to send it next. Usually these decisions are based on what the receiving network advertises through BGP (=Border Gateway Protocol).
The AS graph you are looking at is a graph the other way around. It shows what AS7057 advertises, so this influences how traffic flows towards AS7057, not how data from AS7057 reaches other networks. It might be the same, but it certainly doesn't have to be.