No,you cannot apply to TCS because you would be automatically rejected by the system.

Many companies do not allow rejected candidates or ex-employees to apply for a job opening within six months because it is considered that, that is the period required for preparation or cooling before you apply for another job in the company.

Take your time then try dont waste your time in applying unless you are prepared all that so if you apply they are not going to call you at least that soon as they have many other profiles to be given a first chance at least.

Good luck!!

Yes, you can definitely sit for the TCS NQT off-campus exam even if you appear for the on-campus drive earlier and then do not get selected. There is no limit on the number of attempts for TCS NQT.

However, the clearing of NQT is just the first step. The final selection will depend on your performance in the subsequent rounds of the recruitment process, which mainly involves technical and HR interviews.

To increase chances of getting selected in the next attempt, analyze the following:

Past Performance: Reflect on how you performed in the previous interview, and definitely find some areas for improvement.
Technical Preparation: Upgrade your technical skills especially in core subjects. Coding problems and system design questions.
Soft Skills: Impruv communication, problem solving, and teamwork ability.
Mock Interviews: So mock interviews should be practiced with more experience to give interviews confidently.
Updated: Keep updating the latest trends and technologies in the IT sector.
Remember, a lot of learning and persistence will get you through all this. https://www.careers360.com/articles/know-all-about-tcs-national-qualifier-test

https://www.careers360.com/articles/how-to-prepare-for-tcs-nqt-quantitative-aptitude