Yes but even if you count forever you never reach infinity. I realy suck at explaining mathematical concepts I have a hard time understanding myself
Lets put it like this, you can count forever but you never reach infinity. You can not reach infinity, you can go as far as you want to. There is always another number and no matter how high a number you count you can always say exactly how many you have counted, you will never say "now I have counted infinitly many numbers".
A way to look at the difference betwen a countable and uncountable set would be to imagine you are number 4.
If you are contained in a countable set you can look to your right and find for instance 4.1 and you can look to your left and find for instance 3.9. There are discrete values around you because 4.05 or 3.99 are not allowed.
That means you can pinpoint the exact number that is closest to you and can count your way to any allowed number. You can jump to 4,1 and then 4,2 ect and count each step untill you reach any desired number.
If you are contained in a uncountable set however you can look to your right and find no nearest number. If I say 4.1 is the nearest its not true because 4.01 is even closer and then we have 4.001 and so on to infinity, you have no closest neightboor, just a bunch of numbers that get infinitly closer without end. No discrete values are around you. So you can not jump count your way to 4.1 since there are just no defined places to jump to. Its impossible to count your way to any number and that makes it uncountable.
Counting time is a countable set because you can count your way to any number no matter how big and can never reach infinity.
I think its possible that something can have existed forever. Imagine a closed time loop that brings you can to the begining, the time you started, when you have gone around it once. You can go on and on and it never ends or begins. That is eternal existance. This isnt physicaly impossible, it is just very very hard for our minds to fully grasp. I would say its even impossible for us to grasp it. We are just not built to be able to understand infinity
