NO! It just ain't happening! Two parallel lines will never meet (theoretically and by definition) and therefore have no way to complete the necessary configuration to complete the definition of a "regular" triangle. Three straight lines with three internal angles, all lines completing a three sided polygon. Unless one is using some of that "FUZZY-WEIRD" Euclid math, it just don't work in a "real" world!
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No
There cannot be parallel lines in any [plane] triangles.
There are no parallel lines in a triangle.
2
An isosceles triangle has no parallel sides but 2 of its 3 sides are equal in length