No. At least, not in the same base.

A "rational" number is one that can be expressed as a ratio of two integers. For example 2/3, 19/7, or even 4 (which is the same as 4/1, 8/2, 12/3, etc.)

If a number CAN be expressed as a rational number (even though it is shown differently), then it is rational.

The number 2.857142857142857142857142..... (forever) is a rational number ( = 20/7)

Any number that CANNOT be expressed as a ratio is "irrational" (meaning, not rational).

If you start mixing bases, then the partition of rational and irrational stops making sense. If you create a situation where a number could be both, then it is neither (it means that the partition of rational vs irrational cannot exist in that situation).