Yes.
A Christian Universalist can thoroughly believe all 5 points of TULIP, even Limited Atonement (LA). The doctrine of LA states that Christ’s atonement is for the elect only. How could that be necessarily inconsistent with Universalism? How many people must be designated as unelect for LA to still be LA?
Let us suppose that the sum total of all human beings from Adam to the Second Coming is 100 billion.
If 50 billion are elect and 50 billion are unelect, could LA still hold? Of course.
If 99 billion are elect and 1 billion are unelect, could LA still hold? Of course.
If 99,999,999,900 are elect and 100 are unelect, could LA still hold? Of course.
If 99,999,999,999 are elect and 1 is unelect, could LA still hold? Of course.
If 100 billion are elect and zero are unelect, could LA still hold? Of course.
It matters not at all what the numbers of the unelect are. LA can still be true, even if the unelect number 0.
What would this mean within the context of Calvinist Universalist thought? LA would express the truth that “before” creation, with no reference to creation but only to His own good pleasure, God sovereignly elected each and every individual to salvation. He did not kind of casually toss a “universal salvation bomb” in the direction of mankind, knowing that all humanity would thereby get saved. He did not save an anonymous mass of people. Instead, God intimately and exquisitely loved and elected each and every individual to Heaven.
Thus Limited Salvation. Salvation is limited to those God elected, and He elected everyone. If a high school dance were held, and admission were limited to those who got at least a 2.0 GPA, and every student got at least a 2.0 GPA, then everybody would be welcome to the dance at the same time that it was limited.
Check-out the Primitive Baptist Universalists. They’ve been around since before any of us were born, and they without trouble hold to both Calvinism and Universalism.
One of the innumerable considerations that makes me a Universalist is that the inner logic of every type of Christianity leads to Universalism. Glory be to God.