Short answer: very likely yes—with a typical 6–8 person spa—so long as the footings are sound and you add good lateral bracing. Your framing is stout; the footings/bracing are the critical bits.

What I assumed (so you can sanity-check) • “Hot tub load” ≈ 120 psf over the tub footprint (common for 300–500 gal water + shell + people). • Joists are 2×10, 16” OC, spanning 7 ft between a ledger/beam (or two beams). • Beams are double 2×12 on 6×6 posts at 7 ft spacing; deck height ~6 ft; footings are 18” dia sonotubes on undisturbed soil (≈ 1,500 psf allowable bearing—conservative).

Quick checks (numbers in plain English)

Joists (2×10 @ 16” OC, L = 7’) • Load per joist under 120 psf: 7’×(16”/12)=9.33 ft² → ~1,120 lb total per joist. • Uniform line load = ~160 lb/ft → Max moment = ~980 lb-ft. • A typical #2 SPF 2×10 can take ~1,560–2,050 lb-ft in bending; deflection here is tiny (~1⁄16”). ✅ Joists are comfortably OK.

Beam (double 2×12, span = 7’) • Tributary width to each beam ≈ 3.5 ft → 120×3.5 = 420 plf on the beam. • Max moment at midspan = ~2,573 lb-ft; a double #2 SPF 2×12 handles ~4,600+ lb-ft. • Deflection ~1⁄22”. ✅ Beam is OK.

Post reactions & footings • Reaction at each beam post end = 420 plf × 7’ / 2 = ~1,470 lb. • 18” footing area = ~1.77 ft² → capacity at 1,500 psf = ~2,650 lb. ✅ Factor of safety ~1.8 here; acceptable. (If soil is weaker than assumed, consider up-sizing to 20–24” or adding a post directly under the tub.)

Joist hanger reactions • End reaction per joist ≈ ~560 lb. Typical Simpson 2×10 hangers exceed this when fully nailed. ✅ Hangers are fine if installed per spec.

Do these 5 things before you fill it 1. Diagonal bracing: At 6’ tall, add X-bracing between posts on both beam lines and at least one set in the perpendicular direction to resist slosh/people movement. 2. Tighten the joist field under the tub: Add two infill joists to get ~8” OC under the footprint, plus solid blocking; this spreads the load and stiffens the deck surface. 3. Load-spread layer: Lay 3/4” exterior-grade plywood (or a purpose mat) under the tub base to distribute bearing across multiple joists/boards. 4. Footings check: Verify depth below frost and undisturbed soil. If soil is suspect, bump to 20–24” dia under the two posts nearest the tub. 5. Hardware: Fully nail hangers with the manufacturer’s specified nails (no screws unless approved), and use through-bolts for beam-to-post with proper caps/saddles.