No. Regardless of what type of supply line you use between the house supply and the faucet it will be a compression fitting. Copper lines with a nut and ferrule or flexible ones are both compression and do not need tape or pipe dope.
A copper pipe is the preferred choice of many plumbers for water lines. A PVC pipe is very versatile also though, and is another favorite amongst plumbers when dealing with water lines.
Schedule 40 Foam Core pipe can be used for DWV systems, and Schedule 40 pressure rated pipe (PW) should be used for water lines, and can also be used for DWV. CPVC can also be used for water lines.
There's a leak in the pipe.
Galvanized pipe will be silver/gray color. Copper will be copper. Use a magnet, it'll stick to galvanized pipe but not to copper. Drinking water lines should not be black steel pipe.
Maybe the kitchen is further away and on smaller pipe.
Someone may have shut off the water to that faucet, or a pipe may have froze, or there may be air in the pipe.
Galvanized pipe for water and drain lines. Cast iron pipe for main drain lines.
ONLY water lines!
The hot water pipe feeding the two is too small, either by build up inside the pipe (very common with steel lines), or because it was too small to begin with. Or a shutoff valve is partially closed (maybe at the hot water heater?)
There is no special PVC pipe. CPVC can be used for hot water applications or in my opinion just use PEX pipe.
It can help, but only to a point. The better alternative is to insulate the problem pipe or use a "heat tape." If there is a vanity or kitchen cabinet you may consider rerouting the hot and cold lines into a heated area within the vanity or cabinet.
galvanised pipe