Short Answer: 'No', unfortunately not.
Here is a "Knowledge Article" in 'FamilySrach':
Using DNA in family history research
Where, among other points, it states:
Nor does our Family Tree provide specific features to post or link DNA groups based on DNA matches.
I know this does not help; but, I hope it gives you some perspective and other options
depends what you expect to happen once you "upload your Ancestry DNA"
there is no DNA matching service in FamilySearch - so if that was what you were asking the answer is a clear NO as Brett points out.
BUT nothing to say you couldnt summarize your DNA findings with Ancestry - and upload such a summary to a FS Memories item explaining your findings.
Here are some helpful articles and lessons regarding DNA in 'FamilySearch' ...
DNA testing. What is it, and how can you benefit from it?
Through the aforementioned ...
... Which DNA test options are available?
... Already taken a test? Next steps?
... FAQ / Terminology
DNA: AN INTRODUCTION TO GENETIC GENEALOGY, 6 LESSONS
... DNA: An Introduction to Genetic Genealogy
DNA: I'VE TESTED, NOW WHAT?, 6 LESSONS
GeneTech: YDNA Solutions to Common Genealogical Problems
All that ...
As an aside ...
I am "Tagging" this general 'Question' of yours in this "Community.FamilySearch" Forum, to two (x2) specific 'Groups' in the Forum being:
(1) "Genetic Genealogy Research"; and,
(2) "Genealogy and the Y Chromosome",
in the hope that, the members of those groups may be able to answer/assist you.
ps: Both those Groups are "Public", which you can join, if you wish.
@Genetic Genealogy Research
@Genealogy and the Y Chromosome
If you have a tree on Family search you want to link your DNA to have a look at Rootsfinder.com
There is a fee to use some of the tools there though