No, methyl cation is not more stable than ethyl cation. In fact, ethyl cation is more stable than methyl cation.

The stability of carbocations follows the following order:

3° > 2° > 1°

This is because as the number of alkyl groups attached to the carbocation increases, the positive charge gets dispersed more effectively, making the carbocation more stable.

In the case of methyl cation, there is only one alkyl group attached to the carbocation, so the positive charge is concentrated on a single carbon atom. This makes methyl cation relatively unstable.

On the other hand, in the case of ethyl cation, there are two alkyl groups attached to the carbocation, so the positive charge is dispersed over two carbon atoms. This makes ethyl cation more stable than methyl cation.