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So long as there is one difference distinguishing the two words, it qualifies as a minimal pair, regardless of whether it is transcribed in superscript / as a diacritic. (The distinction between a transcription of, say, [pʲa] and [pja] is generally at the level of phonological theory, not the surface phonetic facts.)

However, I notice your two words differ in two ways: not just [k] vs [kʲ] but also [i] vs. [ɨ]. As such, no, your words would be merely "near" minimal pairs and not true minimal pairs per se.