The answer to this question depends on how you define "infinity". In mathematics, infinity is a concept that has no end. It can be used to refer to something infinitely large, such as the amount of numbers between 0 and 1, or something infinitesimally small, such as the length of a line segment that is smaller than any possible measuring instrument.
In physics, the concept of infinity is slightly more complex. In quantum mechanics, for example, the smallest possible length is a Planck length, which is about 10^-35 meters. This length is so small that it is impossible to measure anything smaller. In this regard, one can say that infinitesimal exists, but it has a physical limit.
In cosmology, the concept of infinitely large is also complex. It is possible that the universe is infinitely large, but that it is also curved. In this case, the universe would be infinitely large, but it would still have an end.
In philosophy, the concept of infinity is also a subject of discussion. Some philosophers believe that infinity is a real concept, while others believe that it is just an abstract concept.
In conclusion, the answer to the question of whether infinitesimal such as infinitely large exists depends on how you define "infinity" and which discipline you consider. In mathematics, infinity exists in a sense, but it is a concept that is not easy to understand. In physics, the concept of infinity is more complex and depends on specific theories. In philosophy, the concept of infinity is also a subject of discussion. (source Google Bard)