No. Tuning the temperament on a piano is difficult, specialized work, and tuning the portions of the piano outside of the temperament requires adjustments to the intervals that are not intuitive. Piano tuning requires training and lots of practice. You almost certainly will be dissatisfied with tuning done according to a guitar tuner. Search on the Piano Technicians Guild website for a Registered Piano Technician in your area.

Get a full chromatic tuner, like the white Boss pedal, because you want perfect equal temperament across the board. It's not hard to get 4th and 5th intervals near-perfect by ear (you could get C from G and F# from B), but for the others (F, Bb, C# and D#), you'll be matching a 4th from a 4th, so you've doubled your potential for error.

If you must do this, tune the highest octave first and make sure to play every major chord to make sure they all have the same texture (are "equally tempered"). Once the highest octave seems perfect, you should then try to match all the other non-tuner notes to it so you don't compound error as you go down the octaves.

• I assume the tuner has a built in microphone, not just a jack input.
• I assume the tuner will only show the correct tuning for the notes E - A - D - G - B - E.

You could use such a tuner to tune these 5 (6) notes, the other ones you'll have to tune by ear.

Some tuners can handle # (sharp) notes too. Then you can tune 10 notes.

My experience is that the octave of the played note is not important for a tuner. I use a tuner for my bass and it's E note is 1 octave lower that the one on my guitar, which my tuner can handle too.