Yes, you can, but these matters are usually solved quickly as long as you can prove that there is no attempt to mislead people into believing your site is affiliated with an established site, brand or company.
If you happen to have a similar name to another business, but are not in competition with them, there is little likelihood of problems.
If you try to “pass off” your company or brand by registering a name specifically to take business from someone else, you can expect to be caught out.