very near; close proximity
Often used in compounds like 至近距離 (point-blank range) or 至近の (nearby).
The criminal was shot at point-blank range.
The culprit fired from point-blank range.
至近のコンビニで買い物をした。
I shopped at a nearby convenience store.
That hotel is located right next to the station.
遠方 refers to a far-off place or distance, the formal opposite of 至近's sense of being extremely close.
至近 means 'very close' in distance, while 至急 (written with the same first kanji) means 'urgent, immediately' and refers to time, not distance.
Compound of 至 (extreme) and 近 (near), literally 'extremely near'.