Definition of Cis-eqtl
Kind of.

What you describe is a cis-eQTL, but the exact distance (1Mb in each direction, 1Mb total, ...) and the definition of the location of the gene (TSS, transcript borders, ...) depend on whoever calculates a cis-eQTLs and are not universal.
The 'cis' part just means the SNP is somehow near the gene, there is no defined limit on the distance.