Yana Usdi

If the OP is asking the question that I think they are, in a way the answer would be probably yes though that's not on a time scale that we'd ever notice, and as of now it's not certain. Our best estimates now have the universe at less than 14 billion years old, some 13.7 I think, and the end game isn't expected for maybe a trillion or few years. We've hardly started on the life of the universe so even if one or more of these ideas bears out it's so far in the future as to not be a worry.

Our sun will eventually use its fuel and die, radiating residual heat for some time but fusion would end. Eventually the same would apply to other stars with smaller ones lasting longer than larger ones, but they all die in time. Gas clouds in space that have yet to form a star will eventually do so and they'll use their fuel in turn. At some point all that's left is the dead ashes of long cold stars and black holes. Over time even those will decay to their most basic particles, black holes due to hawking radiation and the rest to pure entropy. Even the most stable elements will decay on this time scale.

Terms you might want to search for on the subject are heat death of the universe, cold death of the universe or the "Big Freeze" (similar in end result but different in some aspects), and shape of the universe which will help to determine how likely it is and what form it would take. The details and time spans expected are very much in question now, it all depends on the size, shape, and future expansion of our universe. I'll copy a brief quote from wiki on the subject.

The final state of the universe depends on the assumptions made about its ultimate fate, and these assumptions have varied considerably over the late 20th century and early 21st century. In a "closed" universe that undergoes recollapse, a heat death is expected to occur, with the universe approaching arbitrarily high temperature and maximal entropy as the end of the collapse approaches. In an "open" or "flat" universe that continues expanding indefinitely, a heat death is also expected to occur, with the universe cooling to approach absolute zero temperature and approaching a state of maximal entropy over a very long time period. There is dispute over whether or not an expanding universe can approach maximal entropy; it has been proposed that in an expanding universe, the value of maximum entropy increases faster than the universe gains entropy, causing the universe to move progressively further away from heat death.

However, current analysis of entropy suggests that the visible universe has more entropy than previously thought. This is because the research concludes that supermassive black holes are the largest contributor.

Heat death of the universe - Wikipedia, the free encyclopedia

An ok documentary on the subject can be seen at this link, it covers the above possibilities and another one or two.

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