Only if BizTalk uses an Adapter that is Java based, or call out to Java, of which there are a few around.
I found the log4j library in the Oracle Client, however that looks to be a version 1.0, so not vulnerable to the log4Shell vulnerabilities, but it might have other vulnerabilities.
I also checked out a third party adapter used to connect to AMQ, but couldn't find it referenced there, but I might take another look.