The thing is with lights is that there are a few different basic ways of wiring them according what the original designer was most used to and what variations they added themselves.
Any decent electrician (or gifted DIYer) could easily check to evaluate what you actually have and whether a change to what you want to achieve is is quite simple.
We can not decide, with any great probability of accuracy, what you have there just from the photos alone.
I advise you to get help investigating what you have existing in the first pace, from someone who knows how to do that safely, not a disrespect to yourself, quite the opposite in fact, respect to yourself for asking the question in the first place and not just blundering in.
It is easy to get electrics to work, it is often not much more than simply twisting two bits of wire together. However, doing that safely is far more complicated at times.
So best to get help, even if that help costs you a shilling or two.
One thing (one possibility of what you might actually have there) is one Twin and Earth cable to provide L, N & E to the switch box and two separate T & E cables, one for each light.
If so then that would be simple to change things to get your required result.
But we can not know that from those pictures alone.