I think that there may be some minor differences but rather not because of the sign of zodiac, but the time of the year you were born.
For example 'Spring people' can be slightly different than 'Autumn people'.
A different example, we go to school by the year we were born, and there is almost a year of age difference between people born in January and December the same year.
That age gap is clearly visible in a primary school, but that depends on the teachers how they solve this issue.
Overall I do not expect this to be exploitable in the game of poker,
on the other hand there are some events on Earth that depend on the position of other planets,
like the oceans high and low tides depend on the position of the Moon ( not a planet though ).