It is impossible to count past infinity, but it is possible to prove that some infinities, such as all integers, are smaller than other infinities, such as all decimal numbers between 0 and 1. Video on the topic: https://youtu.be/OxGsU8oIWjY or https://youtu.be/dQw4w9WgXcQ.
In Mr Lightyear's case, however, he is talking about the universe, which is finite.