The natural logarithm function is negative for values less than one and positive for values greater than one. So yes, it is possible that you end up with a negative value for log-likelihood (for discrete variables it will always be so).

Can a log likelihood be positive?

We can see that some values for the log likelihood are negative, but most are positive, and that the sum is the value we already know. In the same way, most of the values of the likelihood are greater than one.

Is a negative log likelihood positive?

Negative Log likelihood can not be basically positive number... The fact is that likelihood can be in range 0 to 1. The Log likelihood values are then in range -Inf to 0.