Can I put normal doors on my 2003 TJ with soft doors?

Depends on what you mean by 'normal' doors. If you have a soft top, I think soft doors are normal.
If you have a hard top, then I suppose hard doors are normal. But you could also have half-doors or no doors.
As regards the fit, the hinges on hard doors will fit where your soft doors are located now. I don't know about the soft top, hard door combination. Doesn't seem right.
 
Yes. The hinges and the door surrounds are the same. Anything else about it is weird pontificating about meaningless social constructs.
 
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I’ve got a 2003 tj with soft doors and was wondering if u can buy normal doors and put them on

You often need to loosen the hinges and adjust them in place for the first install, but generally speaking half doors and full doors are interchangeable across the TJ years. I have both (along with trail doors) and swap them out when desired in a couple minutes (no additional adjuatments needed).
 
Can confirm fully interchangeable and the year of the door(s) doesn't matter. Anything 97-06 will fit subject to the hinge mount on the door itself being tweaked first time you install them. Once adjusted its about a 20 second job to lift one off and lift the other one on.

Note though that the full doors weigh a *lot* more than the half doors!
 
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