Yes, standard deviation can be greater than the mean.
So in the event of a negative or 0 Mean you always have a higher SD than Mean. This means nothing, it is expected to be so. In the case that the data sets values are 0 or positive a higher SD than the Mean means that the data set is very widely distributed with a (strong) positive skewness.
Abdulraheem Mukhtar Iderawumi thank you for your valuable information. Yes, indeed the data is positively skewed. Is it okay to use the high SD means or transform the data and analyze it again?