This questions discusses importing other java (non-android) libraries into android.
He basically says:
"You cannot import a JAR implementing java.* classes easily. And, JDBC
would need to be ported to Android, since it probably relies upon
classes in JavaSE that Android lacks. And, you would need to write
your own JDBC driver for SQLite anyway, wrapping the API Android
already supplies, since I suspect the existing JDBC driver uses JNI.
And, when all of that is done, you will have an application that adds
a lot of bloat, making it less likely people will download and retain
your application."
Like he says you cannot do it EASILY, so it may be possible, just not easy.