Although not very easy and required a lot of manual work, it is possible to prepare computer embroidery designs (like the PES format for Brother machines) from bitmap sources, including the GIF. This mostly works for simple, few colored images but should be doable.
Convert Graphics interchange file format to Brother Embroidery file format.
We found 2 software records in the database related to .gif to .pes file format conversion.
Articles and other information relating to gif into pes conversion:
How to create embroidery design from a photo or picture - Embroidery digitizing function
Microsoft Windows software - convert gif to pes on Windows
An embroidery designs manager
Convert from gif file format
The tables with software actions are a good pointer for what a certain program does with various file types and often may give users a good hint how to perform certain file conversion, for example the above-mentioned gif to pes. However, it is not perfect and sometimes can show results which are not really usable because of how certain programs work with files and the possible conversion is thus actually not possible at all.
Multiplatform software - convert gif to pes on any platform
An embroidery digitizer