Your question is not clear to me. Do you mean "Can there be more than one true score for a given person?" or do you mean "Can the value of a person's true score be greater than the number 1?"

The answer to the first question is yes, in samples from the population, estimates of the true scores/person scores can vary due to random sampling error. (In the population as such, there would be one and only one true score for each person according to CTT/IRT.)

The answer to the second question would be yes, the value (person score, true score) could be > 1 in either approach, depending on the scale used to measure the true scores/person scores.

Sir e.g. My question is that if i asked a questions with multiple choices and among the multiple choices more than one option is correct.

I don't think that this would necessarily create problems because the questions/items could be scored accordingly, e.g.,

0 = no correct answer

1 = one correct answer

2 = two correct answers

etc.

Thanks Sir, I got it

Further, can i get your email, i want to share my knowledge test and have some more in-depth guidance related to the knowledge test.