I don't have enough knowledge of GURPS to say for certain that that's legal, but let's assume for a second that it is and the GM doesn't feel like house-ruling it. This brings us to the second half your question: Wouldn't that make the character untouchable? The answer is no; the GM can always do one or more of the following:
- Throw that PC attacks which can't be dodged for some reason. (E.g., they explicitly bypass dodging, the PC is trapped in a confined space where they can't dodge, the attack is non-physical, &c.)
- Have someone pin the PC down with so many or such heavy attacks that they are forced to all-out-dodge constantly, knowing that (a) they will still dodge it and (b) they will be too busy dodging to interfere with whatever else the villain is up to.
- Throw that PC challenges which aren't combat. (E.g., If the PC becomes renowned as an untouchable fighter, have a clever opponent try to deal with them through debilitating poison in their food, having them pursued by the law on false charges, &c.)
- Catch the PC when they're not fully equipped/dressed, or have a stealthy opponent steal their equipment when they're not in a good position to buy replacements immediately. (No equipment = no bonuses!)
- Penalize the PC for running around with all that equipment on all the time. (E.g., heat exhaustion penalties for wearing a heavy cloak in summer. Or just have it get snagged in doors, on bushes, &c. :P)
Those are the basic categories of response that I can think of, but there are probably more.