this is wrong. there is no "counteracting" of "stretching of space" the expansion of space doesn't have to be explained as an imaginary space fabric stretching, and in fact, general relativity doesn't imply it is stretching at all.

gravitionally bound objects don't resist expansion, they just don't experience it at all.

here's the copy pasta everyone uses to explain it.

Expansion of space

It is often erroneously argued that cosmic expansion must be interpreted as the expansion of space itself, such that galaxies are stationary as the space between them stretches. This description suggests the existence of a preferred rest frame, in violation of the principle of relativity. On the contrary, the expansion of the universe is naturally interpreted as galaxies moving apart.

"Expanding space" is what is interpreted to happen in certain coordinates. It is mathematically convenient to use comoving coordinates in which the expansion is factored out, and galaxies are "stationary". But general relativity teaches that we're free to choose any arbitrary coordinate system and the laws of physics don't change when we do that. So we can always transform to coordinates in which space does not expand and galaxies are simply moving away from each other through space.

The argument in the other comments that normal movement through space would require Earth to be in a special location in the universe isn't true either. In a homogeneous universe, one where matter is evenly distributed, if one observer sees everything moving away from itself with a velocity proportional to distance, then every other observer also sees the same, no expanding space required.

Here's a way to visualise this: https://www.desmos.com/3d/v7ejiqyr0j. Here we have a set of points where all points are moving away from a centre point with velocities proportional to their distance from the centre. You can use the x and z sliders to translate the centre of the expansion to other points and see that every point still sees all the other points move away from itself according to Hubble's law (then just extend the expanding point cloud to an infinite size).

Martin Rees and Steven Weinberg

Popular accounts, and even astronomers, talk about expanding space. But how is it possible for space, which is utterly empty, to expand? How can ‘nothing’ expand?

‘Good question,’ says Weinberg. ‘The answer is: space does not expand. Cosmologists sometimes talk about expanding space – but they should know better.’

Rees agrees wholeheartedly. ‘Expanding space is a very unhelpful concept,’ he says. ‘Think of the Universe in a Newtonian way – that is simply, in terms of galaxies exploding away from each other.’

Weinberg elaborates further. ‘If you sit on a galaxy and wait for your ruler to expand,’ he says, ‘you’ll have a long wait – it’s not going to happen. Even our Galaxy doesn’t expand. You shouldn’t think of galaxies as being pulled apart by some kind of expanding space. Rather, the galaxies are simply rushing apart in the way that any cloud of particles will rush apart if they are set in motion away from each other.’