I know that if you put an electromagnet in front of a copper coil it will induce a magnetic field into the copper coil but will it do the same to lead.
Lead can conduct electricity (all metals can), it conducts electricity at 7% of the conductivity of copper. So I can't see why not, although it will be a very weak field.
Below is a list of conductivities relative to copper
1 Silver (Pure) 105%
2 Copper 100%
3 Gold (Pure) 70%
4 Aluminum 61%
5 Brass 28%
6 Zinc 27%
7 Nickel 22%
8 Iron (Pure) 17%
9 Tin 15%
10 Phosphor Bronze 15%
11 Steel (Stainless included) 3-15%
12 Lead (Pure) 7%
- Conductivity ratings are expressed as a relative measurement to copper. A 100% rating does not indicate no resistance.
As you can see the differences in electrical conductivity vary considerably depending on the metal.