Query on managing the order of commits in git merge

Hi,

Had a query related to the order of commits in the command, git merge.

Lets say, we have a local branch(say A) tracking a remote upstream branch,.

A has the following commits,
A ---> 1---2---3--4

We do have another branch B, which is forked out of A and our
features/fixes has been added
on top of A.
B ---->1 --2--3--4--5--6


At a later stage, we sync branch A to the remote upstream branch
and it becomes,
A --> 1--2--3--4--7--8

Now, when we merge A to B, the order in which the commits are merged
into can be different based on date of commit. CMIIW

Like, case 1:

B --> 1--2--3--4--5--6--7--8--M

case 2:

B-->1--2--3--4--7--8--5--6--M

where M is the merge commit.

The query is, do we have control over in what order the patches gets
merged into B.
To be specific, is it possible to ensure that the local changes 5 & 6
is always on top of A,
without affecting the commit ids(ie. case 2 above).

We are not considering the option of git rebase, since it alters the commit ids.
Appreciate your thoughts on this.

Thanks.