The short answer is yes - you can hand swing electic start aeroplanes.
The complete answer is rather more engine/type specific!
I have hand swung C152/172/182, various Pitts Specials and the largest displacement was a Beech V35B - Wonderboem back in the early '90s, hot and very tiring!.
If the engine has an impulse mag, ensure that ONLY that mag is selected when the chap in the aeroplane hears you call CONTACT. Generally this is the LEFT mag but some aeroplanes do have impulses on both sides.
On normal key-start aeroplanes (Lyc/Cont) when you turn the key to START, it mechanically grounds out the RIGHT mag therefore allowing the engine to start only on the impulse mag. When the key is released back to BOTH, the RIGHT mag is energised.
Tricycle geraed aircraft are generally easier to start as the propeller disc angle is more vertical and consequently the thrust line is closer to the ground, so no long reaches a la Tiger Moth.
Hope that this helps,
Stik