Yes. Then No AC might need an idler pulley "kit"
You can run almost anything without a belt to the A/C compressor, but you will either need a shorter belt and / or possibly some sort of belt idler kit to properly route the belt so that it does not physically interfere with anything.
Looking for a Used Tahoe in your area?
CarGurus has 42,074 nationwide Tahoe listings starting at $1,987.
Search Chevrolet Tahoe Questions
Chevrolet Tahoe Experts