No. I have fridge magnets that will hold a veritable textbook and fridge magnets that are overburdened with a post-it note.
Pick up a piece of 3/8" OD copper tubing an inch long and flare the ends well.
One layer of 26 gauge magnet wire (16 mils) will be about 60 turns. Three layers will be about 180 turns.
180 turns * pi * (3/8" + (3 * 16mils)) ≈ 240 inches.
240 inches * 40.8 ohms/1000 feet ≈ 0.8 ohms.
3 volts / 0.8 ohms ≈ 3.75 Amps.
3.75 Amps * 180 ≈ 675 amp turns.
but 26 gauge can only handle a few hundred mA so you power it with a 200mA constant current source.
200mA * 180 turns = 36 Amp Turns.
That may or may not be enough to close the reed switch and will suck the battery dry in 10-15 hours.
I've worked with reed switches requiring 30 amp turns up to 90 amp turns. Most are somewhere around 50.
Anyhow, do you get it? You probably need 60 amp turns at about 25mA. That's about 2400 turns of 30 gauge. 2400 turns of 30 gauge would be around 280 feet.
BTW, don't count, find a 250 foot roll, concentrate on the winding process, and use it all. If you need another 5mA in the end, that's not a big deal.