Multiple account API gateway traces

Is it possible to get Api Gateway to forward traces to a different account?

The set-up I am looking to trace is an application in account 1 that then makes requests to API gateway in account 2. Account 2 then forwards that request to a lambda which interacts with multiple services in Account 2.

When I look at the trace from the perspective of account 1, all of the work done in account 2 shows up as a single node. since I've set up tracing in account 2 as well I can see the trace I expect there with a node per service reporting as expected.

What I would like to know: Can get managed services like API gateway to push its trace data to a different account?