No. Customs and Border Patrol have budgets set by Congress, and laws and regulations under which they operate. Donnie can't change those at all, or on a whim (for regulations). There are also treaties in force between the US and Mexico, which he can't change on his own. The new trade agreement which they negotiated, for example, between the US, Canada, and Mexico, isn't in force yet. The Senate has to approve it. So NAFTA is still in force, and it allows a lot of free trade.
If he tried, it would be even less successful than blocking people from Muslim countries, and that was thrown out by the courts.