But nowhere does the Bible directly say Jesus could have given in to a temptation; nor does it say He could be controlled by the human nature of His physical body.
Being tempted does not necessarily mean you could give in to it. It means you are tested; it can mean an attempt is made to influence you; and/or it can mean you feel like doing something. But the fact that you are tempted does not guarantee that you could give in.
If there's no possibility that someone will give in to something, it's not a temptation.
I have no intention of playing poker, blackjack or whatever it is that people play, or even the lottery to try and win loads of money - so these things are not a temptation.
However many times I may say, "I'll kill him/her/them", I have no intention of doing so - so it's not a temptation.
Jesus was led into the wilderness by the Spirit, went without food for 40 days and was tempted to turn stones into bread. If there wasn't the slightest chance that he could have done that, it wasn't a temptation. I am pretty sure that, as a human being, Jesus would have been extremely hungry after 40 days.
And the bigger picture is that if he wasn't tempted, then he doesn't know what it's like when we are tempted; tempted to misuse power, to do things to satisfy our own needs, to act unethically for our own interests/health/self survival. He
does know what it's like - so he is our mediator and can intercede for us.
You can be tempted and feel like doing that thing and give in. Or, you can be attacked by a temptation and not give in, even though you could.
If the temptation is something that you might want, or consider - like making bread from stones after 40 days of hunger. Or if you make an emphatic statement - "I will give up chocolate for Lent" - or something dramatic happens - God saying "you are my Son." Then that devilish voice pipes up and says "ARE you?" "WILL you?"
Like on the adverts; people make you question if you are happy with your lifestyle and life choices, and try to persuade you that you want/need to change - which will, obviously, involve buying their product. Or that to be a cool person, and someone who will be accepted, you have to buy the latest brands/cover up your grey hair/be seen in the best places, or to be drinking the best wine, etc etc.
Those who value possessions, want to be accepted, to keep up with the Joneses, or use possessions as a form of status and security, may be swayed by such marketing - "look younger/fitter/cooler" etc.
Personally, they don't work on me, because, generally speaking, I don't care.