I'm not saying it's impossible.
It's just without porting the manifold, getting a flowed head, using an uprated fuel pressure regulator/fuel pump/injectors, water injection, 350bhp is a big ask for a standard engine with the R and RSR. Considering how much that little list above costs, an extra £200 for a GT28RS over the GT28R is a cheaper way to get to 350bhp.
and Ross.. you may get 350bhp unmapped but somewhere in your rev range the fuelling won't be optimal.
Matty - 2Bar eh? It'll make 400bhp but just the once..