In general “it depends.” Photoshop has run on computers with Intel integrated graphics for many years. The problem is that Intel integrated graphics spans a very wide range, from extremely weak versions on low spec consumer PCs, up to the latest upper end versions which should work well enough for most image editing.
If it is a high spec PC with a recent generation of Intel Core processor, like maybe 11th generation or later, Photoshop will probably be fine, because Intel integrated graphics have improved a lot. If you later add a discrete graphics card, any GPU-accelerated features may be faster and more responsive.
Remember that for Intel integrated graphics, graphics memory is taken from system memory. So if you want Intel integrated graphics to have the most memory it can, the PC should exceed the recommended amount of system memory in the Photoshop system requirements.
For more specifics, see the links already posted by davescm.