There are many ways to "get bigger".
If "everything gets bigger" means that everthing, while getting bigger, keeps working exactly the same way, every gear keeps turning, every tree keeps growing the same way, and so on, then no, of course you can't detect it, since everything is the same as before. You build a scenario where everything is the same and then ask if we can find something different ?

The question itself is meaningless. Notice that when you imagine everything getting bigger, you have to keep something constant, for example you "see" objects getting larger with respect to your field of vision.
On the other hand, there are many ways in which everything could get bigger in a detectable way, but I think they don't correspond to what you meant. For example, an ant can lift many times its weight, because the section of its muscles is big in respect to its mass; if everything got bigger, you could see ants (and yourself) getting weaker. But this assumes that lots of things, like atom sizes, don't grow. Or, light could take more time to go through an object if it's bigger - and this actually happens, though only on a very big scale.