you not going to hurt your drone. it may hurt you a bit if it suddenly decides to give max current to a half of its motors when you catch it - but it is very unlikely and i think may only happen in a case of some failure of the code. usually when you catch it - rpms of motors drop down, and you pull down left stick and motors die. if you try to pull drone up and down or shake it - it may try to engage motors a bit, but, usually it never happens. it takes several tries to get a hold of this, and then as you know what to expect it simply 'works'. if you not sure - wear a jacket with long sleeves first and make sure hold your grip firmly - not crashing plastic firmly, but, handling a medium size dog firmly.
code is done, i think, in the way to recognize blocking down looking sensor as a proximity of the hand. i just fly it 4-5ft in the air toward me, slide hand under the drone keeping it close - not approaching from the bottom up - that may drone to go up to avoid contact - just sliding it under it several inches under it and grabbing it across the body. works fine.
starting it is much easier - when you push the slider or move stick in to start motors - it senses it and as it pulls up slightly - you release it.
chances to get hurt here are lower as mavic uses foldable props and they do not cut skin as much as carbon or hard plastic tri-blades like these ones:
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those cut like knives, pretty much, with their ends going at 30K rpm.